27a^8-75a^6=

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Solution for 27a^8-75a^6= equation:


Simplifying
27a8 + -75a6 = 0

Reorder the terms:
-75a6 + 27a8 = 0

Solving
-75a6 + 27a8 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a6'.
3a6(-25 + 9a2) = 0

Factor a difference between two squares.
3a6((5 + 3a)(-5 + 3a)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'a6' equal to zero and attempt to solve: Simplifying a6 = 0 Solving a6 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a6 = 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

Subproblem 3

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, 1.666666667}

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