Solve the equation by factoring. 3x^2-5x-12=0

x = 3

or

Step-by-step explanation:

3x² - 5x - 12 = 0

Method 1: Factoring

3x² + 4x - 9x - 12 = 0

(3x² + 4x) + (- 9x - 12) = 0

x(3x + 4) - 3(3x + 4) = 0

(x - 3)(3x + 4) = 0

Two separate equations

x - 3 = 0

3x + 4 = 0

x - 3 = 0

x - 3 + 3 = 0 + 3

3x + 4 = 0

3x + 4 - 4 = 0 - 4

3x = - 4

Method 2: Quadratic Formula

Ignore the A before the ±, it wouldn't let me type it correctly.

3x² - 5x - 12 = 0

a = 3

b = - 5

c = - 12

Two separate equations

One must have a + (positive) and the other will have a - (negative).

x = 18 ÷ 6

x = 3

x = - 8 ÷ 6

cheater

step-by-step explanation: