5x^5=50x^3

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Solution for 5x^5=50x^3 equation:


Simplifying
5x5 = 50x3

Solving
5x5 = 50x3

Solving for variable 'x'.

Reorder the terms:
-50x3 + 5x5 = 50x3 + -50x3

Combine like terms: 50x3 + -50x3 = 0
-50x3 + 5x5 = 0

Factor out the Greatest Common Factor (GCF), '5x3'.
5x3(-10 + x2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-10 + x2)' equal to zero and attempt to solve: Simplifying -10 + x2 = 0 Solving -10 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x2 = 0 + 10 x2 = 0 + 10 Combine like terms: 0 + 10 = 10 x2 = 10 Simplifying x2 = 10 Take the square root of each side: x = {-3.16227766, 3.16227766}

Solution

x = {-3.16227766, 3.16227766}

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