5X^5=35X^3

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Solution for 5X^5=35X^3 equation:


Simplifying
5X5 = 35X3

Solving
5X5 = 35X3

Solving for variable 'X'.

Reorder the terms:
-35X3 + 5X5 = 35X3 + -35X3

Combine like terms: 35X3 + -35X3 = 0
-35X3 + 5X5 = 0

Factor out the Greatest Common Factor (GCF), '5X3'.
5X3(-7 + 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 '(-7 + X2)' equal to zero and attempt to solve: Simplifying -7 + X2 = 0 Solving -7 + X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + X2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + X2 = 0 + 7 X2 = 0 + 7 Combine like terms: 0 + 7 = 7 X2 = 7 Simplifying X2 = 7 Take the square root of each side: X = {-2.645751311, 2.645751311}

Solution

X = {-2.645751311, 2.645751311}

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