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

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


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

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

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

Multiply (-10 + x) * (-8 + 2x)
(-10(-8 + 2x) + x(-8 + 2x)) = 0
((-8 * -10 + 2x * -10) + x(-8 + 2x)) = 0
((80 + -20x) + x(-8 + 2x)) = 0
(80 + -20x + (-8 * x + 2x * x)) = 0
(80 + -20x + (-8x + 2x2)) = 0

Combine like terms: -20x + -8x = -28x
(80 + -28x + 2x2) = 0

Solving
80 + -28x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(40 + -14x + x2) = 0

Factor a trinomial.
2((4 + -1x)(10 + -1x)) = 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 '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {4, 10}

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