256=(x+8)(x+8)

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Solution for 256=(x+8)(x+8) equation: 


Simplifying
256 = (x + 8)(x + 8)

Reorder the terms:
256 = (8 + x)(x + 8)

Reorder the terms:
256 = (8 + x)(8 + x)

Multiply (8 + x) * (8 + x)
256 = (8(8 + x) + x(8 + x))
256 = ((8 * 8 + x * 8) + x(8 + x))
256 = ((64 + 8x) + x(8 + x))
256 = (64 + 8x + (8 * x + x * x))
256 = (64 + 8x + (8x + x2))

Combine like terms: 8x + 8x = 16x
256 = (64 + 16x + x2)

Solving
256 = 64 + 16x + x2

Solving for variable 'x'.

Combine like terms: 256 + -64 = 192
192 + -16x + -1x2 = 64 + 16x + x2 + -64 + -16x + -1x2

Reorder the terms:
192 + -16x + -1x2 = 64 + -64 + 16x + -16x + x2 + -1x2

Combine like terms: 64 + -64 = 0
192 + -16x + -1x2 = 0 + 16x + -16x + x2 + -1x2
192 + -16x + -1x2 = 16x + -16x + x2 + -1x2

Combine like terms: 16x + -16x = 0
192 + -16x + -1x2 = 0 + x2 + -1x2
192 + -16x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
192 + -16x + -1x2 = 0

Factor a trinomial.
(8 + -1x)(24 + x) = 0


Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

Subproblem 2
Set the factor '(24 + x)' equal to zero and attempt to solve:

Simplifying
24 + x = 0

Solving
24 + x = 0

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

Add '-24' to each side of the equation.
24 + -24 + x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + x = 0 + -24
x = 0 + -24

Combine like terms: 0 + -24 = -24
x = -24

Simplifying
x = -24
Solution
x = {8, -24}

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