a^3=6a^4

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Solution for a^3=6a^4 equation:


Simplifying
a3 = 6a4

Solving
a3 = 6a4

Solving for variable 'a'.

Combine like terms: 6a4 + -6a4 = 0
a3 + -6a4 = 0

Factor out the Greatest Common Factor (GCF), 'a3'.
a3(1 + -6a) = 0

Subproblem 1

Set the factor 'a3' equal to zero and attempt to solve: Simplifying a3 = 0 Solving a3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3 = 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 '(1 + -6a)' equal to zero and attempt to solve: Simplifying 1 + -6a = 0 Solving 1 + -6a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6a = 0 + -1 -6a = 0 + -1 Combine like terms: 0 + -1 = -1 -6a = -1 Divide each side by '-6'. a = 0.1666666667 Simplifying a = 0.1666666667

Solution

a = {0.1666666667}

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