x^7-5x^2=0

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Solution for x^7-5x^2=0 equation:


Simplifying
x7 + -5x2 = 0

Reorder the terms:
-5x2 + x7 = 0

Solving
-5x2 + x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-5 + x5) = 0

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 + x5)' equal to zero and attempt to solve: Simplifying -5 + x5 = 0 Solving -5 + x5 = 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 + x5 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x5 = 0 + 5 x5 = 0 + 5 Combine like terms: 0 + 5 = 5 x5 = 5 Simplifying x5 = 5 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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