3(x-4)2-75=0

Solution for 3(x-4)2-75=0 equation:

Simplifying
3(x + -4) * 2 + -75 = 0

Reorder the terms:
3(-4 + x) * 2 + -75 = 0

Reorder the terms for easier multiplication:
3 * 2(-4 + x) + -75 = 0

Multiply 3 * 2
6(-4 + x) + -75 = 0
(-4 * 6 + x * 6) + -75 = 0
(-24 + 6x) + -75 = 0

Reorder the terms:
-24 + -75 + 6x = 0

Combine like terms: -24 + -75 = -99
-99 + 6x = 0

Solving
-99 + 6x = 0

Solving for variable 'x'.

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

Add '99' to each side of the equation.
-99 + 99 + 6x = 0 + 99

Combine like terms: -99 + 99 = 0
0 + 6x = 0 + 99
6x = 0 + 99

Combine like terms: 0 + 99 = 99
6x = 99

Divide each side by '6'.
x = 16.5

Simplifying
x = 16.5