4x^5-100x^2=0

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Solution for 4x^5-100x^2=0 equation:


Simplifying
4x5 + -100x2 = 0

Reorder the terms:
-100x2 + 4x5 = 0

Solving
-100x2 + 4x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(-25 + x3) = 0

Ignore the factor 4.

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 '(-25 + x3)' equal to zero and attempt to solve: Simplifying -25 + x3 = 0 Solving -25 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + x3 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + x3 = 0 + 25 x3 = 0 + 25 Combine like terms: 0 + 25 = 25 x3 = 25 Simplifying x3 = 25 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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