(8-4x)(8-4x)=36

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Solution for (8-4x)(8-4x)=36 equation: 


Simplifying
(8 + -4x)(8 + -4x) = 36

Multiply (8 + -4x) * (8 + -4x)
(8(8 + -4x) + -4x * (8 + -4x)) = 36
((8 * 8 + -4x * 8) + -4x * (8 + -4x)) = 36
((64 + -32x) + -4x * (8 + -4x)) = 36
(64 + -32x + (8 * -4x + -4x * -4x)) = 36
(64 + -32x + (-32x + 16x2)) = 36

Combine like terms: -32x + -32x = -64x
(64 + -64x + 16x2) = 36

Solving
64 + -64x + 16x2 = 36

Solving for variable 'x'.

Reorder the terms:
64 + -36 + -64x + 16x2 = 36 + -36

Combine like terms: 64 + -36 = 28
28 + -64x + 16x2 = 36 + -36

Combine like terms: 36 + -36 = 0
28 + -64x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + -16x + 4x2) = 0

Factor a trinomial.
4((1 + -2x)(7 + -2x)) = 0

Ignore the factor 4.

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {0.5, 3.5}

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