(2x)(2x+2)=224

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Solution for (2x)(2x+2)=224 equation: 


Simplifying
(2x)(2x + 2) = 224

Remove parenthesis around (2x)
2x(2x + 2) = 224

Reorder the terms:
2x(2 + 2x) = 224
(2 * 2x + 2x * 2x) = 224
(4x + 4x2) = 224

Solving
4x + 4x2 = 224

Solving for variable 'x'.

Reorder the terms:
-224 + 4x + 4x2 = 224 + -224

Combine like terms: 224 + -224 = 0
-224 + 4x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-56 + x + x2) = 0

Factor a trinomial.
4((-8 + -1x)(7 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-8, 7}

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