4(x)2+4(x+4)2=(80)2

Solution for 4(x)2+4(x+4)2=(80)2 equation:

Simplifying
4(x) * 2 + 4(x + 4) * 2 = (80) * 2

Reorder the terms for easier multiplication:
4 * 2x + 4(x + 4) * 2 = (80) * 2

Multiply 4 * 2
8x + 4(x + 4) * 2 = (80) * 2

Reorder the terms:
8x + 4(4 + x) * 2 = (80) * 2

Reorder the terms for easier multiplication:
8x + 4 * 2(4 + x) = (80) * 2

Multiply 4 * 2
8x + 8(4 + x) = (80) * 2
8x + (4 * 8 + x * 8) = (80) * 2
8x + (32 + 8x) = (80) * 2

Reorder the terms:
32 + 8x + 8x = (80) * 2

Combine like terms: 8x + 8x = 16x
32 + 16x = (80) * 2

Multiply 80 * 2
32 + 16x = 160

Solving
32 + 16x = 160

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + 16x = 160 + -32

Combine like terms: 32 + -32 = 0
0 + 16x = 160 + -32
16x = 160 + -32

Combine like terms: 160 + -32 = 128
16x = 128

Divide each side by '16'.
x = 8

Simplifying
x = 8