(2x-10)(x-8)=0

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Solution for (2x-10)(x-8)=0 equation: 


Simplifying
(2x + -10)(x + -8) = 0

Reorder the terms:
(-10 + 2x)(x + -8) = 0

Reorder the terms:
(-10 + 2x)(-8 + x) = 0

Multiply (-10 + 2x) * (-8 + x)
(-10(-8 + x) + 2x * (-8 + x)) = 0
((-8 * -10 + x * -10) + 2x * (-8 + x)) = 0
((80 + -10x) + 2x * (-8 + x)) = 0
(80 + -10x + (-8 * 2x + x * 2x)) = 0
(80 + -10x + (-16x + 2x2)) = 0

Combine like terms: -10x + -16x = -26x
(80 + -26x + 2x2) = 0

Solving
80 + -26x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(40 + -13x + x2) = 0

Factor a trinomial.
2((5 + -1x)(8 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 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 = {5, 8}

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