x^2(-2x+5)(-10x-8)=

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Solution for x^2(-2x+5)(-10x-8)= equation: 


Simplifying
x2(-2x + 5)(-10x + -8) = 0

Reorder the terms:
x2(5 + -2x)(-10x + -8) = 0

Reorder the terms:
x2(5 + -2x)(-8 + -10x) = 0

Multiply (5 + -2x) * (-8 + -10x)
x2(5(-8 + -10x) + -2x * (-8 + -10x)) = 0
x2((-8 * 5 + -10x * 5) + -2x * (-8 + -10x)) = 0
x2((-40 + -50x) + -2x * (-8 + -10x)) = 0
x2(-40 + -50x + (-8 * -2x + -10x * -2x)) = 0
x2(-40 + -50x + (16x + 20x2)) = 0

Combine like terms: -50x + 16x = -34x
x2(-40 + -34x + 20x2) = 0
(-40 * x2 + -34x * x2 + 20x2 * x2) = 0
(-40x2 + -34x3 + 20x4) = 0

Solving
-40x2 + -34x3 + 20x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-20 + -17x + 10x2) = 0

Factor a trinomial.
2x2((-4 + -5x)(5 + -2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-4 + -5x)' equal to zero and attempt to solve:

Simplifying
-4 + -5x = 0

Solving
-4 + -5x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5x = 0 + 4

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

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

Divide each side by '-5'.
x = -0.8

Simplifying
x = -0.8

Subproblem 3
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {0, -0.8, 2.5}

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