16x^6=54x^3

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Solution for 16x^6=54x^3 equation:


Simplifying
16x6 = 54x3

Solving
16x6 = 54x3

Solving for variable 'x'.

Reorder the terms:
-54x3 + 16x6 = 54x3 + -54x3

Combine like terms: 54x3 + -54x3 = 0
-54x3 + 16x6 = 0

Factor out the Greatest Common Factor (GCF), '2x3'.
2x3(-27 + 8x3) = 0

Ignore the factor 2.

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 '(-27 + 8x3)' equal to zero and attempt to solve: Simplifying -27 + 8x3 = 0 Solving -27 + 8x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 8x3 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 8x3 = 0 + 27 8x3 = 0 + 27 Combine like terms: 0 + 27 = 27 8x3 = 27 Divide each side by '8'. x3 = 3.375 Simplifying x3 = 3.375 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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