(X-8)(2X+10)=

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Solution for (X-8)(2X+10)= 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((-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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