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

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


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

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

Remove parenthesis around (6x)
(-10 + 8x) * 6x(10 + 10x) = 0

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

Multiply (-10 + 8x) * (10 + 10x)
6x(-10(10 + 10x) + 8x * (10 + 10x)) = 0
6x((10 * -10 + 10x * -10) + 8x * (10 + 10x)) = 0
6x((-100 + -100x) + 8x * (10 + 10x)) = 0
6x(-100 + -100x + (10 * 8x + 10x * 8x)) = 0
6x(-100 + -100x + (80x + 80x2)) = 0

Combine like terms: -100x + 80x = -20x
6x(-100 + -20x + 80x2) = 0
(-100 * 6x + -20x * 6x + 80x2 * 6x) = 0
(-600x + -120x2 + 480x3) = 0

Solving
-600x + -120x2 + 480x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '120x'.
120x(-5 + -1x + 4x2) = 0

Factor a trinomial.
120x((-1 + -1x)(5 + -4x)) = 0

Ignore the factor 120.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1

Subproblem 3
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {0, -1, 1.25}

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