3x^5=5x^3

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


Simplifying
3x5 = 5x3

Solving
3x5 = 5x3

Solving for variable 'x'.

Reorder the terms:
-5x3 + 3x5 = 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
-5x3 + 3x5 = 0

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(-5 + 3x2) = 0

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 '(-5 + 3x2)' equal to zero and attempt to solve: Simplifying -5 + 3x2 = 0 Solving -5 + 3x2 = 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 + 3x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x2 = 0 + 5 3x2 = 0 + 5 Combine like terms: 0 + 5 = 5 3x2 = 5 Divide each side by '3'. x2 = 1.666666667 Simplifying x2 = 1.666666667 Take the square root of each side: x = {-1.290994449, 1.290994449}

Solution

x = {-1.290994449, 1.290994449}

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