How do you solve this quadratic equation by factoring:

Question

5x^2 - 14x = 3?

Answer 1

5x^2 - 14x = 3

Subtract 3 from each side

5x^2 - 14x - 3 = 3 - 3

5x^2 - 14x - 3 = 0

5x² - 15x + x - 3 = 0

5x(x - 3) + 1( x - 3) = 0

Take out common term x - 3

(x - 3)(5x + 1) = 0

x - 3 = 0 or 5x + 1 = 0

x = 3 or  x = (-1 / 5)

x = (- 1 / 5) , 3.