3(x-5)2-27=0

Solution for 3(x-5)2-27=0 equation:

Simplifying
3(x + -5) * 2 + -27 = 0

Reorder the terms:
3(-5 + x) * 2 + -27 = 0

Reorder the terms for easier multiplication:
3 * 2(-5 + x) + -27 = 0

Multiply 3 * 2
6(-5 + x) + -27 = 0
(-5 * 6 + x * 6) + -27 = 0
(-30 + 6x) + -27 = 0

Reorder the terms:
-30 + -27 + 6x = 0

Combine like terms: -30 + -27 = -57
-57 + 6x = 0

Solving
-57 + 6x = 0

Solving for variable 'x'.

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

Add '57' to each side of the equation.
-57 + 57 + 6x = 0 + 57

Combine like terms: -57 + 57 = 0
0 + 6x = 0 + 57
6x = 0 + 57

Combine like terms: 0 + 57 = 57
6x = 57

Divide each side by '6'.
x = 9.5

Simplifying
x = 9.5