Solving Quadratic Equations by Factoring: Basic Techniques

To simplify the equation

To ensure correct factorization

To allow for easier addition and subtraction

To balance the equation

-2 and -7

-1 and -14

2 and 7

1 and 14

(x + 14)(x - 1)

(x - 14)(x + 1)

(x + 2)(x + 7)

(x - 2)(x - 7)

x = -2, x = -7

x = 2, x = 7

x = 0, x = 1

x = 9, x = 14

Subtract the factors

Add the factors

Multiply the factors

Set each factor equal to zero

x = 0

x = -7

x = 7

x = 1

Ignoring the coefficient of x^2

Multiplying instead of factoring

Factoring out an x prematurely

Setting the equation to zero

Each factor must equal three

Factoring is not necessary

The equation has no solution

The solutions are always positive

They must add up to -5

They must multiply to give -6

They must be both positive

They must be both negative

x = -1/2, x = 3

x = 1/2, x = 3

x = 1/2, x = -3

x = -1/2, x = -3