80=(10+2x)(8+2x)

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Solution for 80=(10+2x)(8+2x) equation: 


Simplifying
80 = (10 + 2x)(8 + 2x)

Multiply (10 + 2x) * (8 + 2x)
80 = (10(8 + 2x) + 2x * (8 + 2x))
80 = ((8 * 10 + 2x * 10) + 2x * (8 + 2x))
80 = ((80 + 20x) + 2x * (8 + 2x))
80 = (80 + 20x + (8 * 2x + 2x * 2x))
80 = (80 + 20x + (16x + 4x2))

Combine like terms: 20x + 16x = 36x
80 = (80 + 36x + 4x2)

Add '-80' to each side of the equation.
80 + -80 = 80 + 36x + -80 + 4x2

Combine like terms: 80 + -80 = 0
0 = 80 + 36x + -80 + 4x2

Reorder the terms:
0 = 80 + -80 + 36x + 4x2

Combine like terms: 80 + -80 = 0
0 = 0 + 36x + 4x2
0 = 36x + 4x2

Solving
0 = 36x + 4x2

Solving for variable 'x'.
Remove the zero:
-36x + -4x2 = 36x + 4x2 + -36x + -4x2

Reorder the terms:
-36x + -4x2 = 36x + -36x + 4x2 + -4x2

Combine like terms: 36x + -36x = 0
-36x + -4x2 = 0 + 4x2 + -4x2
-36x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-36x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '-4x'.
-4x(9 + x) = 0

Ignore the factor -4.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
Solution
x = {0, -9}

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