Question

Which are the solutions of 5x2 + 2x - 3 = 0 by factoring?

Answer 1

`x=(3)/(5)`

x = - 1

Explanation:

5x² + 2x - 3 = 0

5x² + 2x - 3x = 0

(5x² + 5x) + (- 3x - 3) = 0

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

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

Create separate equations.

5x - 3 = 0

x + 1 = 0

5x - 3 = 0

5x - 3 + 3 = 0 + 3

5x = 3

5x ÷ 5 = 3 ÷ 5

`x=(3)/(5)`

x + 1 = 0

x + 1 - 1 = 0 - 1

x = - 1