(28-2x)(11-2x)=234

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Solution for (28-2x)(11-2x)=234 equation: 


Simplifying
(28 + -2x)(11 + -2x) = 234

Multiply (28 + -2x) * (11 + -2x)
(28(11 + -2x) + -2x * (11 + -2x)) = 234
((11 * 28 + -2x * 28) + -2x * (11 + -2x)) = 234
((308 + -56x) + -2x * (11 + -2x)) = 234
(308 + -56x + (11 * -2x + -2x * -2x)) = 234
(308 + -56x + (-22x + 4x2)) = 234

Combine like terms: -56x + -22x = -78x
(308 + -78x + 4x2) = 234

Solving
308 + -78x + 4x2 = 234

Solving for variable 'x'.

Reorder the terms:
308 + -234 + -78x + 4x2 = 234 + -234

Combine like terms: 308 + -234 = 74
74 + -78x + 4x2 = 234 + -234

Combine like terms: 234 + -234 = 0
74 + -78x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(37 + -39x + 2x2) = 0

Factor a trinomial.
2((1 + -1x)(37 + -2x)) = 0

Ignore the factor 2.

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(37 + -2x)' equal to zero and attempt to solve:

Simplifying
37 + -2x = 0

Solving
37 + -2x = 0

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

Add '-37' to each side of the equation.
37 + -37 + -2x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -2x = 0 + -37
-2x = 0 + -37

Combine like terms: 0 + -37 = -37
-2x = -37

Divide each side by '-2'.
x = 18.5

Simplifying
x = 18.5
Solution
x = {1, 18.5}

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