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

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Solution for 6(x+10)(x-8)=0 equation: 


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

Reorder the terms:
6(10 + x)(x + -8) = 0

Reorder the terms:
6(10 + x)(-8 + x) = 0

Multiply (10 + x) * (-8 + x)
6(10(-8 + x) + x(-8 + x)) = 0
6((-8 * 10 + x * 10) + x(-8 + x)) = 0
6((-80 + 10x) + x(-8 + x)) = 0
6(-80 + 10x + (-8 * x + x * x)) = 0
6(-80 + 10x + (-8x + x2)) = 0

Combine like terms: 10x + -8x = 2x
6(-80 + 2x + x2) = 0
(-80 * 6 + 2x * 6 + x2 * 6) = 0
(-480 + 12x + 6x2) = 0

Solving
-480 + 12x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-80 + 2x + x2) = 0

Factor a trinomial.
6((-10 + -1x)(8 + -1x)) = 0

Ignore the factor 6.

Subproblem 1
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

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 = {-10, 8}

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