(26-2x)(20-2x)=216

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Solution for (26-2x)(20-2x)=216 equation: 


Simplifying
(26 + -2x)(20 + -2x) = 216

Multiply (26 + -2x) * (20 + -2x)
(26(20 + -2x) + -2x * (20 + -2x)) = 216
((20 * 26 + -2x * 26) + -2x * (20 + -2x)) = 216
((520 + -52x) + -2x * (20 + -2x)) = 216
(520 + -52x + (20 * -2x + -2x * -2x)) = 216
(520 + -52x + (-40x + 4x2)) = 216

Combine like terms: -52x + -40x = -92x
(520 + -92x + 4x2) = 216

Solving
520 + -92x + 4x2 = 216

Solving for variable 'x'.

Reorder the terms:
520 + -216 + -92x + 4x2 = 216 + -216

Combine like terms: 520 + -216 = 304
304 + -92x + 4x2 = 216 + -216

Combine like terms: 216 + -216 = 0
304 + -92x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(76 + -23x + x2) = 0

Factor a trinomial.
4((4 + -1x)(19 + -1x)) = 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 '(19 + -1x)' equal to zero and attempt to solve:

Simplifying
19 + -1x = 0

Solving
19 + -1x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 0 + -19
-1x = 0 + -19

Combine like terms: 0 + -19 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19
Solution
x = {4, 19}

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