Solve 2x² + 12x - 14 = 0.

Solution:

Given quadratic equation is

2x² + 12x - 14 = 0

Divide the equation by 2 throughout. We get

x² + 6x - 7 = 0

Let us solve this quadratic equation by splitting the middle terms.

x² + 7x - x - 7 = 0

x(x + 7) - 1(x + 7)

(x + 7)(x - 1)

Therefore, the solution set is 1, -7

Solve 2x² + 12x - 14 = 0.

Summary:

The solution for 2x² + 12x - 14 = 0 is 1, -7.