(4x+8)(4x+8)=144

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Solution for (4x+8)(4x+8)=144 equation: 


Simplifying
(4x + 8)(4x + 8) = 144

Reorder the terms:
(8 + 4x)(4x + 8) = 144

Reorder the terms:
(8 + 4x)(8 + 4x) = 144

Multiply (8 + 4x) * (8 + 4x)
(8(8 + 4x) + 4x * (8 + 4x)) = 144
((8 * 8 + 4x * 8) + 4x * (8 + 4x)) = 144
((64 + 32x) + 4x * (8 + 4x)) = 144
(64 + 32x + (8 * 4x + 4x * 4x)) = 144
(64 + 32x + (32x + 16x2)) = 144

Combine like terms: 32x + 32x = 64x
(64 + 64x + 16x2) = 144

Solving
64 + 64x + 16x2 = 144

Solving for variable 'x'.

Reorder the terms:
64 + -144 + 64x + 16x2 = 144 + -144

Combine like terms: 64 + -144 = -80
-80 + 64x + 16x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-80 + 64x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-5 + 4x + x2) = 0

Factor a trinomial.
16((-5 + -1x)(1 + -1x)) = 0

Ignore the factor 16.

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1
Solution
x = {-5, 1}

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