(8x-10)x(-2x-10+7)=

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Solution for (8x-10)x(-2x-10+7)= equation: 


Simplifying
(8x + -10) * x(-2x + -10 + 7) = 0

Reorder the terms:
(-10 + 8x) * x(-2x + -10 + 7) = 0

Reorder the terms:
(-10 + 8x) * x(-10 + 7 + -2x) = 0

Combine like terms: -10 + 7 = -3
(-10 + 8x) * x(-3 + -2x) = 0

Reorder the terms for easier multiplication:
x(-10 + 8x)(-3 + -2x) = 0

Multiply (-10 + 8x) * (-3 + -2x)
x(-10(-3 + -2x) + 8x * (-3 + -2x)) = 0
x((-3 * -10 + -2x * -10) + 8x * (-3 + -2x)) = 0
x((30 + 20x) + 8x * (-3 + -2x)) = 0
x(30 + 20x + (-3 * 8x + -2x * 8x)) = 0
x(30 + 20x + (-24x + -16x2)) = 0

Combine like terms: 20x + -24x = -4x
x(30 + -4x + -16x2) = 0
(30 * x + -4x * x + -16x2 * x) = 0
(30x + -4x2 + -16x3) = 0

Solving
30x + -4x2 + -16x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(15 + -2x + -8x2) = 0

Factor a trinomial.
2x((5 + -4x)(3 + 2x)) = 0

Ignore the factor 2.

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 '(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

Subproblem 3
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {0, 1.25, -1.5}

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