4(x-8)2+14=78

Solution for 4(x-8)2+14=78 equation:

Simplifying
4(x + -8) * 2 + 14 = 78

Reorder the terms:
4(-8 + x) * 2 + 14 = 78

Reorder the terms for easier multiplication:
4 * 2(-8 + x) + 14 = 78

Multiply 4 * 2
8(-8 + x) + 14 = 78
(-8 * 8 + x * 8) + 14 = 78
(-64 + 8x) + 14 = 78

Reorder the terms:
-64 + 14 + 8x = 78

Combine like terms: -64 + 14 = -50
-50 + 8x = 78

Solving
-50 + 8x = 78

Solving for variable 'x'.

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

Add '50' to each side of the equation.
-50 + 50 + 8x = 78 + 50

Combine like terms: -50 + 50 = 0
0 + 8x = 78 + 50
8x = 78 + 50

Combine like terms: 78 + 50 = 128
8x = 128

Divide each side by '8'.
x = 16

Simplifying
x = 16