4x^3=a*6x^5

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Solution for 4x^3=a*6x^5 equation:


Simplifying
4x3 = a * 6x5

Reorder the terms for easier multiplication:
4x3 = 6a * x5

Multiply a * x5
4x3 = 6ax5

Solving
4x3 = 6ax5

Solving for variable 'x'.

Reorder the terms:
-6ax5 + 4x3 = 6ax5 + -6ax5

Combine like terms: 6ax5 + -6ax5 = 0
-6ax5 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), '2x3'.
2x3(-3ax2 + 2) = 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 '(-3ax2 + 2)' equal to zero and attempt to solve: Simplifying -3ax2 + 2 = 0 Reorder the terms: 2 + -3ax2 = 0 Solving 2 + -3ax2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3ax2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3ax2 = 0 + -2 -3ax2 = 0 + -2 Combine like terms: 0 + -2 = -2 -3ax2 = -2 Divide each side by '-3a'. x2 = 0.6666666667a-1 Simplifying x2 = 0.6666666667a-1 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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