5x^5=30x^4

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Solution for 5x^5=30x^4 equation:


Simplifying
5x5 = 30x4

Solving
5x5 = 30x4

Solving for variable 'x'.

Reorder the terms:
-30x4 + 5x5 = 30x4 + -30x4

Combine like terms: 30x4 + -30x4 = 0
-30x4 + 5x5 = 0

Factor out the Greatest Common Factor (GCF), '5x4'.
5x4(-6 + x) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6

Solution

x = {6}

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