(11-2x)(26-2x)=154

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Solution for (11-2x)(26-2x)=154 equation: 


Simplifying
(11 + -2x)(26 + -2x) = 154

Multiply (11 + -2x) * (26 + -2x)
(11(26 + -2x) + -2x * (26 + -2x)) = 154
((26 * 11 + -2x * 11) + -2x * (26 + -2x)) = 154
((286 + -22x) + -2x * (26 + -2x)) = 154
(286 + -22x + (26 * -2x + -2x * -2x)) = 154
(286 + -22x + (-52x + 4x2)) = 154

Combine like terms: -22x + -52x = -74x
(286 + -74x + 4x2) = 154

Solving
286 + -74x + 4x2 = 154

Solving for variable 'x'.

Reorder the terms:
286 + -154 + -74x + 4x2 = 154 + -154

Combine like terms: 286 + -154 = 132
132 + -74x + 4x2 = 154 + -154

Combine like terms: 154 + -154 = 0
132 + -74x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(66 + -37x + 2x2) = 0

Factor a trinomial.
2((2 + -1x)(33 + -2x)) = 0

Ignore the factor 2.

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(33 + -2x)' equal to zero and attempt to solve:

Simplifying
33 + -2x = 0

Solving
33 + -2x = 0

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

Add '-33' to each side of the equation.
33 + -33 + -2x = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -2x = 0 + -33
-2x = 0 + -33

Combine like terms: 0 + -33 = -33
-2x = -33

Divide each side by '-2'.
x = 16.5

Simplifying
x = 16.5
Solution
x = {2, 16.5}

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