x(x-15)=3(108-5x)

Solution for x(x-15)=3(108-5x) equation:

Simplifying
x(x + -15) = 3(108 + -5x)

Reorder the terms:
x(-15 + x) = 3(108 + -5x)
(-15 * x + x * x) = 3(108 + -5x)
(-15x + x2) = 3(108 + -5x)
-15x + x2 = (108 * 3 + -5x * 3)
-15x + x2 = (324 + -15x)

Add '15x' to each side of the equation.
-15x + 15x + x2 = 324 + -15x + 15x

Combine like terms: -15x + 15x = 0
0 + x2 = 324 + -15x + 15x
x2 = 324 + -15x + 15x

Combine like terms: -15x + 15x = 0
x2 = 324 + 0
x2 = 324

Solving
x2 = 324

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 324

Take the square root of each side:
x = {-18, 18}