816=(26+2x)(16+2x)

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Solution for 816=(26+2x)(16+2x) equation: 


Simplifying
816 = (26 + 2x)(16 + 2x)

Multiply (26 + 2x) * (16 + 2x)
816 = (26(16 + 2x) + 2x * (16 + 2x))
816 = ((16 * 26 + 2x * 26) + 2x * (16 + 2x))
816 = ((416 + 52x) + 2x * (16 + 2x))
816 = (416 + 52x + (16 * 2x + 2x * 2x))
816 = (416 + 52x + (32x + 4x2))

Combine like terms: 52x + 32x = 84x
816 = (416 + 84x + 4x2)

Solving
816 = 416 + 84x + 4x2

Solving for variable 'x'.

Combine like terms: 816 + -416 = 400
400 + -84x + -4x2 = 416 + 84x + 4x2 + -416 + -84x + -4x2

Reorder the terms:
400 + -84x + -4x2 = 416 + -416 + 84x + -84x + 4x2 + -4x2

Combine like terms: 416 + -416 = 0
400 + -84x + -4x2 = 0 + 84x + -84x + 4x2 + -4x2
400 + -84x + -4x2 = 84x + -84x + 4x2 + -4x2

Combine like terms: 84x + -84x = 0
400 + -84x + -4x2 = 0 + 4x2 + -4x2
400 + -84x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
400 + -84x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(100 + -21x + -1x2) = 0

Factor a trinomial.
4((4 + -1x)(25 + 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 '(25 + x)' equal to zero and attempt to solve:

Simplifying
25 + x = 0

Solving
25 + x = 0

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

Add '-25' to each side of the equation.
25 + -25 + x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + x = 0 + -25
x = 0 + -25

Combine like terms: 0 + -25 = -25
x = -25

Simplifying
x = -25
Solution
x = {4, -25}

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