# What does it mean to set an equation equal to zero?

## What does it mean to set an equation equal to zero?

The solution x = 0 means that the value 0 satisfies. the equation, so there is a solution. ” No solution” means that there is no value, not even 0, which would satisfy the equation.

## How do you break a quadratic equation?

Expand the expression and clear all fractions if necessary. Move all terms to the left-hand side of the equal to sign. Factorize the equation by breaking down the middle term. Equate each factor to zero and solve the linear equations.

What are the steps to solving a quadratic equation?

Steps for solving Quadratic application problems:

1. Draw and label a picture if necessary.
2. Define all of the variables.
3. Determine if there is a special formula needed. Substitute the given information into the equation.
4. Write the equation in standard form.
5. Factor.
6. Set each factor equal to 0.

### How do you find a quadratic equation?

The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) . See examples of using the formula to solve a variety of equations.

### How do you solve one quadratic equation?

To solve a quadratic equation by factoring,

1. Put all terms on one side of the equal sign, leaving zero on the other side.
2. Factor.
3. Set each factor equal to zero.
4. Solve each of these equations.

What are 5 methods of solving a quadratic equation?

There are several methods you can use to solve a quadratic equation: Factoring Completing the Square Quadratic Formula Graphing

• Factoring.
• Completing the Square.
• Graphing.

## What are the 4 methods of solving quadratic equations?

The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula.

## What are the 3 methods of solving quadratic equations?

There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.

When does SiNx = 0, what does x equal?

When sinx=0, what does x equal? sinx is known as a periodic function that oscillates at regular intervals. It crosses the x-axis (i.e. it is 0) at x = 0,π, and 2π in the domain [0,2π], and continues to cross the x-axis at every integer multiple of π. x = π ± kπ for all k in the set of integers.

### Why does x equal to 1 in the equation y?

X also equals to 1, so since you see a negative next to the X, it will be -1. So he changed the equation just to make it easier for you. It was changed to y = -1x + 12 so it will look like y = mx + b, slope intercept form. 12 is the y intercept (b) and -1 is the slope (m)— and X is just there because it’s supposed to be.

### How to solve for X with a calculator?

Solve for X Calculator. The calculator will find the `x` (exact and numerical, real and complex) in the given equation. In general, you can skip the multiplication sign, so `5x` is equivalent to `5*x`. In general, you can skip parentheses, but be very careful: e^3x is `e^3x`, and e^(3x) is `e^(3x)`.

When is x−3 equal to zero in math?

(x+2) (x−3) = 0 It is equal to zero when x = −2 or x = +3 because when x = −2, then (x+2) is zero or when x = +3, then (x−3) is zero