9(x-2)2+27=171

Solution for 9(x-2)2+27=171 equation:

Simplifying
9(x + -2) * 2 + 27 = 171

Reorder the terms:
9(-2 + x) * 2 + 27 = 171

Reorder the terms for easier multiplication:
9 * 2(-2 + x) + 27 = 171

Multiply 9 * 2
18(-2 + x) + 27 = 171
(-2 * 18 + x * 18) + 27 = 171
(-36 + 18x) + 27 = 171

Reorder the terms:
-36 + 27 + 18x = 171

Combine like terms: -36 + 27 = -9
-9 + 18x = 171

Solving
-9 + 18x = 171

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 18x = 171 + 9

Combine like terms: -9 + 9 = 0
0 + 18x = 171 + 9
18x = 171 + 9

Combine like terms: 171 + 9 = 180
18x = 180

Divide each side by '18'.
x = 10

Simplifying
x = 10