Which of the following are solutions to the equation. 6x^2-2x+36=5x^2+10x

x = 6

Step-by-step explanation:

Given

6x² - 2x + 36 = 5x² + 10x (subtract 5x² + 10x from both sides)

x² - 12x + 36 = 0 ← in standard form

This is a perfect square of the form

(x - a) ² = x² - 2ax + a²

36 = 6² ⇒ a = 6 and 2ax = (2 * 6) x = 12x, hence

(x - 6) ² = 0

x - 6 = 0 ⇒ x = 6