X^2(2x-8)(X-5)=0

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Solution for X^2(2x-8)(X-5)=0 equation: 


Simplifying
X2(2x + -8)(X + -5) = 0

Reorder the terms:
X2(-8 + 2x)(X + -5) = 0

Reorder the terms:
X2(-8 + 2x)(-5 + X) = 0

Multiply (-8 + 2x) * (-5 + X)
X2(-8(-5 + X) + 2x * (-5 + X)) = 0
X2((-5 * -8 + X * -8) + 2x * (-5 + X)) = 0
X2((40 + -8X) + 2x * (-5 + X)) = 0
X2(40 + -8X + (-5 * 2x + X * 2x)) = 0
X2(40 + -8X + (-10x + 2xX)) = 0
X2(40 + -8X + -10x + 2xX) = 0
(40 * X2 + -8X * X2 + -10x * X2 + 2xX * X2) = 0
(40X2 + -8X3 + -10xX2 + 2xX3) = 0

Solving
40X2 + -8X3 + -10xX2 + 2xX3 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2X2'.
2X2(20 + -4X + -5x + xX) = 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 '(20 + -4X + -5x + xX)' equal to zero and attempt to solve:

Simplifying
20 + -4X + -5x + xX = 0

Solving
20 + -4X + -5x + xX = 0

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

Add '-20' to each side of the equation.
20 + -4X + -5x + -20 + xX = 0 + -20

Reorder the terms:
20 + -20 + -4X + -5x + xX = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -4X + -5x + xX = 0 + -20
-4X + -5x + xX = 0 + -20

Combine like terms: 0 + -20 = -20
-4X + -5x + xX = -20

Add '5x' to each side of the equation.
-4X + -5x + 5x + xX = -20 + 5x

Combine like terms: -5x + 5x = 0
-4X + 0 + xX = -20 + 5x
-4X + xX = -20 + 5x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}

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