25x^5=5x^2

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Solution for 25x^5=5x^2 equation:


Simplifying
25x5 = 5x2

Solving
25x5 = 5x2

Solving for variable 'x'.

Reorder the terms:
-5x2 + 25x5 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-5x2 + 25x5 = 0

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(-1 + 5x3) = 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 '(-1 + 5x3)' equal to zero and attempt to solve: Simplifying -1 + 5x3 = 0 Solving -1 + 5x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5x3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5x3 = 0 + 1 5x3 = 0 + 1 Combine like terms: 0 + 1 = 1 5x3 = 1 Divide each side by '5'. x3 = 0.2 Simplifying x3 = 0.2 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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