6(x-3)2-54=0

Solution for 6(x-3)2-54=0 equation:

Simplifying
6(x + -3) * 2 + -54 = 0

Reorder the terms:
6(-3 + x) * 2 + -54 = 0

Reorder the terms for easier multiplication:
6 * 2(-3 + x) + -54 = 0

Multiply 6 * 2
12(-3 + x) + -54 = 0
(-3 * 12 + x * 12) + -54 = 0
(-36 + 12x) + -54 = 0

Reorder the terms:
-36 + -54 + 12x = 0

Combine like terms: -36 + -54 = -90
-90 + 12x = 0

Solving
-90 + 12x = 0

Solving for variable 'x'.

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

Add '90' to each side of the equation.
-90 + 90 + 12x = 0 + 90

Combine like terms: -90 + 90 = 0
0 + 12x = 0 + 90
12x = 0 + 90

Combine like terms: 0 + 90 = 90
12x = 90

Divide each side by '12'.
x = 7.5

Simplifying
x = 7.5