(2x+8)x(2x+10)=224

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Solution for (2x+8)x(2x+10)=224 equation:


Simplifying
(2x + 8) * x(2x + 10) = 224

Reorder the terms:
(8 + 2x) * x(2x + 10) = 224

Reorder the terms:
(8 + 2x) * x(10 + 2x) = 224

Reorder the terms for easier multiplication:
x(8 + 2x)(10 + 2x) = 224

Multiply (8 + 2x) * (10 + 2x)
x(8(10 + 2x) + 2x * (10 + 2x)) = 224
x((10 * 8 + 2x * 8) + 2x * (10 + 2x)) = 224
x((80 + 16x) + 2x * (10 + 2x)) = 224
x(80 + 16x + (10 * 2x + 2x * 2x)) = 224
x(80 + 16x + (20x + 4x2)) = 224

Combine like terms: 16x + 20x = 36x
x(80 + 36x + 4x2) = 224
(80 * x + 36x * x + 4x2 * x) = 224
(80x + 36x2 + 4x3) = 224

Solving
80x + 36x2 + 4x3 = 224

Solving for variable 'x'.

Reorder the terms:
-224 + 80x + 36x2 + 4x3 = 224 + -224

Combine like terms: 224 + -224 = 0
-224 + 80x + 36x2 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-56 + 20x + 9x2 + x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-56 + 20x + 9x2 + x3)' equal to zero and attempt to solve: Simplifying -56 + 20x + 9x2 + x3 = 0 Solving -56 + 20x + 9x2 + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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