(8-2x)(11-2x)=0

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Solution for (8-2x)(11-2x)=0 equation: 


Simplifying
(8 + -2x)(11 + -2x) = 0

Multiply (8 + -2x) * (11 + -2x)
(8(11 + -2x) + -2x * (11 + -2x)) = 0
((11 * 8 + -2x * 8) + -2x * (11 + -2x)) = 0
((88 + -16x) + -2x * (11 + -2x)) = 0
(88 + -16x + (11 * -2x + -2x * -2x)) = 0
(88 + -16x + (-22x + 4x2)) = 0

Combine like terms: -16x + -22x = -38x
(88 + -38x + 4x2) = 0

Solving
88 + -38x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(44 + -19x + 2x2) = 0

Factor a trinomial.
2((4 + -1x)(11 + -2x)) = 0

Ignore the factor 2.

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 '(11 + -2x)' equal to zero and attempt to solve:

Simplifying
11 + -2x = 0

Solving
11 + -2x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 0 + -11
-2x = 0 + -11

Combine like terms: 0 + -11 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5
Solution
x = {4, 5.5}

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