(13-2x)(16-2x)=0

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Solution for (13-2x)(16-2x)=0 equation: 


Simplifying
(13 + -2x)(16 + -2x) = 0

Multiply (13 + -2x) * (16 + -2x)
(13(16 + -2x) + -2x * (16 + -2x)) = 0
((16 * 13 + -2x * 13) + -2x * (16 + -2x)) = 0
((208 + -26x) + -2x * (16 + -2x)) = 0
(208 + -26x + (16 * -2x + -2x * -2x)) = 0
(208 + -26x + (-32x + 4x2)) = 0

Combine like terms: -26x + -32x = -58x
(208 + -58x + 4x2) = 0

Solving
208 + -58x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(104 + -29x + 2x2) = 0

Factor a trinomial.
2((13 + -2x)(8 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(13 + -2x)' equal to zero and attempt to solve:

Simplifying
13 + -2x = 0

Solving
13 + -2x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -2x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = 0 + -13
-2x = 0 + -13

Combine like terms: 0 + -13 = -13
-2x = -13

Divide each side by '-2'.
x = 6.5

Simplifying
x = 6.5

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {6.5, 8}

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