(4x)*(4x)=8x+80

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Solution for (4x)*(4x)=8x+80 equation: 


Simplifying
(4x)(4x) = 8x + 80

Remove parenthesis around (4x)
4x(4x) = 8x + 80

Remove parenthesis around (4x)
4x * 4x = 8x + 80

Reorder the terms for easier multiplication:
4 * 4x * x = 8x + 80

Multiply 4 * 4
16x * x = 8x + 80

Multiply x * x
16x2 = 8x + 80

Reorder the terms:
16x2 = 80 + 8x

Solving
16x2 = 80 + 8x

Solving for variable 'x'.

Reorder the terms:
-80 + -8x + 16x2 = 80 + 8x + -80 + -8x

Reorder the terms:
-80 + -8x + 16x2 = 80 + -80 + 8x + -8x

Combine like terms: 80 + -80 = 0
-80 + -8x + 16x2 = 0 + 8x + -8x
-80 + -8x + 16x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-80 + -8x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-10 + -1x + 2x2) = 0

Factor a trinomial.
8((-2 + -1x)(5 + -2x)) = 0

Ignore the factor 8.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-2, 2.5}

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