952=(26+2x)(20+2x)

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Solution for 952=(26+2x)(20+2x) equation: 


Simplifying
952 = (26 + 2x)(20 + 2x)

Multiply (26 + 2x) * (20 + 2x)
952 = (26(20 + 2x) + 2x * (20 + 2x))
952 = ((20 * 26 + 2x * 26) + 2x * (20 + 2x))
952 = ((520 + 52x) + 2x * (20 + 2x))
952 = (520 + 52x + (20 * 2x + 2x * 2x))
952 = (520 + 52x + (40x + 4x2))

Combine like terms: 52x + 40x = 92x
952 = (520 + 92x + 4x2)

Solving
952 = 520 + 92x + 4x2

Solving for variable 'x'.

Combine like terms: 952 + -520 = 432
432 + -92x + -4x2 = 520 + 92x + 4x2 + -520 + -92x + -4x2

Reorder the terms:
432 + -92x + -4x2 = 520 + -520 + 92x + -92x + 4x2 + -4x2

Combine like terms: 520 + -520 = 0
432 + -92x + -4x2 = 0 + 92x + -92x + 4x2 + -4x2
432 + -92x + -4x2 = 92x + -92x + 4x2 + -4x2

Combine like terms: 92x + -92x = 0
432 + -92x + -4x2 = 0 + 4x2 + -4x2
432 + -92x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
432 + -92x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(108 + -23x + -1x2) = 0

Factor a trinomial.
4((4 + -1x)(27 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(27 + x)' equal to zero and attempt to solve:

Simplifying
27 + x = 0

Solving
27 + x = 0

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

Add '-27' to each side of the equation.
27 + -27 + x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + x = 0 + -27
x = 0 + -27

Combine like terms: 0 + -27 = -27
x = -27

Simplifying
x = -27
Solution
x = {4, -27}

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