1600=(x-8)(x-8)(4)

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Solution for 1600=(x-8)(x-8)(4) equation: 


Simplifying
1600 = (x + -8)(x + -8)(4)

Reorder the terms:
1600 = (-8 + x)(x + -8)(4)

Reorder the terms:
1600 = (-8 + x)(-8 + x)(4)

Reorder the terms for easier multiplication:
1600 = 4(-8 + x)(-8 + x)

Multiply (-8 + x) * (-8 + x)
1600 = 4(-8(-8 + x) + x(-8 + x))
1600 = 4((-8 * -8 + x * -8) + x(-8 + x))
1600 = 4((64 + -8x) + x(-8 + x))
1600 = 4(64 + -8x + (-8 * x + x * x))
1600 = 4(64 + -8x + (-8x + x2))

Combine like terms: -8x + -8x = -16x
1600 = 4(64 + -16x + x2)
1600 = (64 * 4 + -16x * 4 + x2 * 4)
1600 = (256 + -64x + 4x2)

Solving
1600 = 256 + -64x + 4x2

Solving for variable 'x'.

Combine like terms: 1600 + -256 = 1344
1344 + 64x + -4x2 = 256 + -64x + 4x2 + -256 + 64x + -4x2

Reorder the terms:
1344 + 64x + -4x2 = 256 + -256 + -64x + 64x + 4x2 + -4x2

Combine like terms: 256 + -256 = 0
1344 + 64x + -4x2 = 0 + -64x + 64x + 4x2 + -4x2
1344 + 64x + -4x2 = -64x + 64x + 4x2 + -4x2

Combine like terms: -64x + 64x = 0
1344 + 64x + -4x2 = 0 + 4x2 + -4x2
1344 + 64x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
1344 + 64x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(336 + 16x + -1x2) = 0

Factor a trinomial.
4((28 + -1x)(12 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(28 + -1x)' equal to zero and attempt to solve:

Simplifying
28 + -1x = 0

Solving
28 + -1x = 0

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

Add '-28' to each side of the equation.
28 + -28 + -1x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -1x = 0 + -28
-1x = 0 + -28

Combine like terms: 0 + -28 = -28
-1x = -28

Divide each side by '-1'.
x = 28

Simplifying
x = 28

Subproblem 2
Set the factor '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 0

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

Add '-12' to each side of the equation.
12 + -12 + x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + x = 0 + -12
x = 0 + -12

Combine like terms: 0 + -12 = -12
x = -12

Simplifying
x = -12
Solution
x = {28, -12}

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