3x^6=18x^5

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Solution for 3x^6=18x^5 equation:


Simplifying
3x6 = 18x5

Solving
3x6 = 18x5

Solving for variable 'x'.

Reorder the terms:
-18x5 + 3x6 = 18x5 + -18x5

Combine like terms: 18x5 + -18x5 = 0
-18x5 + 3x6 = 0

Factor out the Greatest Common Factor (GCF), '3x5'.
3x5(-6 + x) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x5' equal to zero and attempt to solve: Simplifying x5 = 0 Solving x5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5 = 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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