64a^2b^3+27a^5=0

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Solution for 64a^2b^3+27a^5=0 equation:


Simplifying
64a2b3 + 27a5 = 0

Solving
64a2b3 + 27a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(64b3 + 27a3) = 0

Subproblem 1

Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}

Subproblem 2

Set the factor '(64b3 + 27a3)' equal to zero and attempt to solve: Simplifying 64b3 + 27a3 = 0 Reorder the terms: 27a3 + 64b3 = 0 Solving 27a3 + 64b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-64b3' to each side of the equation. 27a3 + 64b3 + -64b3 = 0 + -64b3 Combine like terms: 64b3 + -64b3 = 0 27a3 + 0 = 0 + -64b3 27a3 = 0 + -64b3 Remove the zero: 27a3 = -64b3 Divide each side by '27'. a3 = -2.37037037b3 Simplifying a3 = -2.37037037b3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

a = {0}

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