Question

What are the solutions of 6x2 + 2x – 20 = 0? x = x =

Answer 1

6x² + 2x - 20 = 0

3(2x² + x - 10) = 0

3[(2x² - 4x + 5x - 10)] = 0

3[2x(x - 2) + 5(x - 2)] = 0

3(2x + 5)(x - 2) = 0

3=0, 2x + 5 = 0, x - 2 = 0 (Note: 3=0 is false so disregard that equation)

x = $\frac{-5}{2}$ , x = 2

Answer: x = {$\frac{-5}{2}$, 2}