4x(x^4-10)(x^4+10)=

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Solution for 4x(x^4-10)(x^4+10)= equation: 


Simplifying
4x(x4 + -10)(x4 + 10) = 0

Reorder the terms:
4x(-10 + x4)(x4 + 10) = 0

Reorder the terms:
4x(-10 + x4)(10 + x4) = 0

Multiply (-10 + x4) * (10 + x4)
4x(-10(10 + x4) + x4(10 + x4)) = 0
4x((10 * -10 + x4 * -10) + x4(10 + x4)) = 0
4x((-100 + -10x4) + x4(10 + x4)) = 0
4x(-100 + -10x4 + (10 * x4 + x4 * x4)) = 0
4x(-100 + -10x4 + (10x4 + x8)) = 0

Combine like terms: -10x4 + 10x4 = 0
4x(-100 + 0 + x8) = 0
4x(-100 + x8) = 0
(-100 * 4x + x8 * 4x) = 0
(-400x + 4x9) = 0

Solving
-400x + 4x9 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-100 + x8) = 0

Factor a difference between two squares.
4x((10 + x4)(-10 + x4)) = 0

Ignore the factor 4.

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 '(10 + x4)' equal to zero and attempt to solve:

Simplifying
10 + x4 = 0

Solving
10 + x4 = 0

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

Add '-10' to each side of the equation.
10 + -10 + x4 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x4 = 0 + -10
x4 = 0 + -10

Combine like terms: 0 + -10 = -10
x4 = -10

Simplifying
x4 = -10

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(-10 + x4)' equal to zero and attempt to solve:

Simplifying
-10 + x4 = 0

Solving
-10 + x4 = 0

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

Add '10' to each side of the equation.
-10 + 10 + x4 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + x4 = 0 + 10
x4 = 0 + 10

Combine like terms: 0 + 10 = 10
x4 = 10

Simplifying
x4 = 10

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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