Answer:
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
