2x^2 - 16 + 34 = x^2 - 6x + 10 what are the solutions

x = - 4, x = - 2

Step-by-step explanation:

Given

2x² - 16 + 34 = x² - 6x + 10, that is

2x² + 18 = x² - 6x + 10 ← subtract x² - 6x + 10 from both sides

x² + 6x + 8 = 0 ← in standard form

(x + 4) (x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x + 2 = 0 ⇒ x = - 2