2x^5=16x^2

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Solution for 2x^5=16x^2 equation: 


Simplifying
2x5 = 16x2

Solving
2x5 = 16x2

Solving for variable 'x'.

Reorder the terms:
-16x2 + 2x5 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
-16x2 + 2x5 = 0

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-8 + x3) = 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 '(-8 + x3)' equal to zero and attempt to solve:

Simplifying
-8 + x3 = 0

Solving
-8 + x3 = 0

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

Add '8' to each side of the equation.
-8 + 8 + x3 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x3 = 0 + 8
x3 = 0 + 8

Combine like terms: 0 + 8 = 8
x3 = 8

Simplifying
x3 = 8

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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