4(x+1)2=100

Solution for 4(x+1)2=100 equation:

Simplifying
4(x + 1) * 2 = 100

Reorder the terms:
4(1 + x) * 2 = 100

Reorder the terms for easier multiplication:
4 * 2(1 + x) = 100

Multiply 4 * 2
8(1 + x) = 100
(1 * 8 + x * 8) = 100
(8 + 8x) = 100

Solving
8 + 8x = 100

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 8x = 100 + -8

Combine like terms: 8 + -8 = 0
0 + 8x = 100 + -8
8x = 100 + -8

Combine like terms: 100 + -8 = 92
8x = 92

Divide each side by '8'.
x = 11.5

Simplifying
x = 11.5