5x^5+5000x^2=0

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Solution for 5x^5+5000x^2=0 equation:


Simplifying
5x5 + 5000x2 = 0

Reorder the terms:
5000x2 + 5x5 = 0

Solving
5000x2 + 5x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(1000 + x3) = 0

Ignore the factor 5.

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 '(1000 + x3)' equal to zero and attempt to solve: Simplifying 1000 + x3 = 0 Solving 1000 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1000' to each side of the equation. 1000 + -1000 + x3 = 0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + x3 = 0 + -1000 x3 = 0 + -1000 Combine like terms: 0 + -1000 = -1000 x3 = -1000 Simplifying x3 = -1000 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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