Can you SOLVE this math equation

4(x-8)^ + x^ = x(x+119) - 47x

And the '^' indicates that the power is squared. The answer needs two solutions.

THANKS!!

4(x - 8)² + x² = x(x + 119) - 47x

We can start off by expand the bracket: x(x + 119), which equals x² + 119x
4(x - 8)² + x² = x² + 119x - 47x

subtract an x² of both sides of the equations, and simply the right side, to get
4(x - 8)² = 119x - 47x = 72x

Now we divide both sides by 4
(x - 8)² = 18x

Open brackets at the left side with (x - 8)² = x² - 16x + 64
x² - 16x + 64 = 18x

Subtract 18x to both sides
x² - 34x + 64 = 0

Solve for quadratic equation however you like

(here using the formula)
x = (34±√(1156 - 256)) / 2
x = (34±√900) / 2
x = (34±30)/2
x =4/2 or 64/2
x = 2 or 32

The solutions for x is 2 and 32.

{2, 32}