x^4(x-2)(x-16)=0

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Solution for x^4(x-2)(x-16)=0 equation: 


Simplifying
x4(x + -2)(x + -16) = 0

Reorder the terms:
x4(-2 + x)(x + -16) = 0

Reorder the terms:
x4(-2 + x)(-16 + x) = 0

Multiply (-2 + x) * (-16 + x)
x4(-2(-16 + x) + x(-16 + x)) = 0
x4((-16 * -2 + x * -2) + x(-16 + x)) = 0
x4((32 + -2x) + x(-16 + x)) = 0
x4(32 + -2x + (-16 * x + x * x)) = 0
x4(32 + -2x + (-16x + x2)) = 0

Combine like terms: -2x + -16x = -18x
x4(32 + -18x + x2) = 0
(32 * x4 + -18x * x4 + x2 * x4) = 0
(32x4 + -18x5 + x6) = 0

Solving
32x4 + -18x5 + x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x4'.
x4(32 + -18x + x2) = 0

Factor a trinomial.
x4((2 + -1x)(16 + -1x)) = 0


Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve:

Simplifying
x4 = 0

Solving
x4 = 0

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

Simplifying
x4 = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 3
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {2, 16}

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