3(x-1)2-189=0

Solution for 3(x-1)2-189=0 equation:

Simplifying
3(x + -1) * 2 + -189 = 0

Reorder the terms:
3(-1 + x) * 2 + -189 = 0

Reorder the terms for easier multiplication:
3 * 2(-1 + x) + -189 = 0

Multiply 3 * 2
6(-1 + x) + -189 = 0
(-1 * 6 + x * 6) + -189 = 0
(-6 + 6x) + -189 = 0

Reorder the terms:
-6 + -189 + 6x = 0

Combine like terms: -6 + -189 = -195
-195 + 6x = 0

Solving
-195 + 6x = 0

Solving for variable 'x'.

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

Add '195' to each side of the equation.
-195 + 195 + 6x = 0 + 195

Combine like terms: -195 + 195 = 0
0 + 6x = 0 + 195
6x = 0 + 195

Combine like terms: 0 + 195 = 195
6x = 195

Divide each side by '6'.
x = 32.5

Simplifying
x = 32.5