15a^5-40a^2=

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Solution for 15a^5-40a^2= equation:


Simplifying
15a5 + -40a2 = 0

Reorder the terms:
-40a2 + 15a5 = 0

Solving
-40a2 + 15a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a2'.
5a2(-8 + 3a3) = 0

Ignore the factor 5.

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 '(-8 + 3a3)' equal to zero and attempt to solve: Simplifying -8 + 3a3 = 0 Solving -8 + 3a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3a3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3a3 = 0 + 8 3a3 = 0 + 8 Combine like terms: 0 + 8 = 8 3a3 = 8 Divide each side by '3'. a3 = 2.666666667 Simplifying a3 = 2.666666667 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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