(X-4)(X-4)=256

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Solution for (X-4)(X-4)=256 equation: 


Simplifying
(X + -4)(X + -4) = 256

Reorder the terms:
(-4 + X)(X + -4) = 256

Reorder the terms:
(-4 + X)(-4 + X) = 256

Multiply (-4 + X) * (-4 + X)
(-4(-4 + X) + X(-4 + X)) = 256
((-4 * -4 + X * -4) + X(-4 + X)) = 256
((16 + -4X) + X(-4 + X)) = 256
(16 + -4X + (-4 * X + X * X)) = 256
(16 + -4X + (-4X + X2)) = 256

Combine like terms: -4X + -4X = -8X
(16 + -8X + X2) = 256

Solving
16 + -8X + X2 = 256

Solving for variable 'X'.

Reorder the terms:
16 + -256 + -8X + X2 = 256 + -256

Combine like terms: 16 + -256 = -240
-240 + -8X + X2 = 256 + -256

Combine like terms: 256 + -256 = 0
-240 + -8X + X2 = 0

Factor a trinomial.
(-12 + -1X)(20 + -1X) = 0


Subproblem 1
Set the factor '(-12 + -1X)' equal to zero and attempt to solve:

Simplifying
-12 + -1X = 0

Solving
-12 + -1X = 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 + -1X = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1X = 0 + 12
-1X = 0 + 12

Combine like terms: 0 + 12 = 12
-1X = 12

Divide each side by '-1'.
X = -12

Simplifying
X = -12

Subproblem 2
Set the factor '(20 + -1X)' equal to zero and attempt to solve:

Simplifying
20 + -1X = 0

Solving
20 + -1X = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1X = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1X = 0 + -20
-1X = 0 + -20

Combine like terms: 0 + -20 = -20
-1X = -20

Divide each side by '-1'.
X = 20

Simplifying
X = 20
Solution
X = {-12, 20}

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