8a^7(6a^2+10a)=0

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Solution for 8a^7(6a^2+10a)=0 equation:


Simplifying
8a7(6a2 + 10a) = 0

Reorder the terms:
8a7(10a + 6a2) = 0
(10a * 8a7 + 6a2 * 8a7) = 0
(80a8 + 48a9) = 0

Solving
80a8 + 48a9 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '16a8'.
16a8(5 + 3a) = 0

Ignore the factor 16.

Subproblem 1

Set the factor 'a8' equal to zero and attempt to solve: Simplifying a8 = 0 Solving a8 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a8 = 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 '(5 + 3a)' equal to zero and attempt to solve: Simplifying 5 + 3a = 0 Solving 5 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3a = 0 + -5 3a = 0 + -5 Combine like terms: 0 + -5 = -5 3a = -5 Divide each side by '3'. a = -1.666666667 Simplifying a = -1.666666667

Solution

a = {-1.666666667}

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