10x^5=-1250x^2

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Solution for 10x^5=-1250x^2 equation: 


Simplifying
10x5 = -1250x2

Solving
10x5 = -1250x2

Solving for variable 'x'.

Reorder the terms:
1250x2 + 10x5 = -1250x2 + 1250x2

Combine like terms: -1250x2 + 1250x2 = 0
1250x2 + 10x5 = 0

Factor out the Greatest Common Factor (GCF), '10x2'.
10x2(125 + x3) = 0

Ignore the factor 10.

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 '(125 + x3)' equal to zero and attempt to solve:

Simplifying
125 + x3 = 0

Solving
125 + x3 = 0

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

Add '-125' to each side of the equation.
125 + -125 + x3 = 0 + -125

Combine like terms: 125 + -125 = 0
0 + x3 = 0 + -125
x3 = 0 + -125

Combine like terms: 0 + -125 = -125
x3 = -125

Simplifying
x3 = -125

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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