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

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


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

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

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

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

Combine like terms: 16x + -10x = 6x
(-80 + 6x + 2x2) = 0

Solving
-80 + 6x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-40 + 3x + x2) = 0

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

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
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
Solution
x = {-8, 5}

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