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

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


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

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

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

Reorder the terms for easier multiplication:
2 * 8x2(-5 + x)(-5 + x) = 0

Multiply 2 * 8
16x2(-5 + x)(-5 + x) = 0

Multiply (-5 + x) * (-5 + x)
16x2(-5(-5 + x) + x(-5 + x)) = 0
16x2((-5 * -5 + x * -5) + x(-5 + x)) = 0
16x2((25 + -5x) + x(-5 + x)) = 0
16x2(25 + -5x + (-5 * x + x * x)) = 0
16x2(25 + -5x + (-5x + x2)) = 0

Combine like terms: -5x + -5x = -10x
16x2(25 + -10x + x2) = 0
(25 * 16x2 + -10x * 16x2 + x2 * 16x2) = 0
(400x2 + -160x3 + 16x4) = 0

Solving
400x2 + -160x3 + 16x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '16x2'.
16x2(25 + -10x + x2) = 0

Factor a trinomial.
16x2((5 + -1x)(5 + -1x)) = 0

Ignore the factor 16.

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 '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

Subproblem 3
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {0, 5, 5}

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