-5ac^3(8c^2+9a^4-3)=0

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Solution for -5ac^3(8c^2+9a^4-3)=0 equation: 


Simplifying
-5ac3(8c2 + 9a4 + -3) = 0

Reorder the terms:
-5ac3(-3 + 9a4 + 8c2) = 0
(-3 * -5ac3 + 9a4 * -5ac3 + 8c2 * -5ac3) = 0

Reorder the terms:
(15ac3 + -40ac5 + -45a5c3) = 0
(15ac3 + -40ac5 + -45a5c3) = 0

Solving
15ac3 + -40ac5 + -45a5c3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5ac3'.
5ac3(3 + -8c2 + -9a4) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'ac3' equal to zero and attempt to solve:

Simplifying
ac3 = 0

Solving
ac3 = 0

Move all terms containing a to the left, all other terms to the right.

Simplifying
ac3 = 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 '(3 + -8c2 + -9a4)' equal to zero and attempt to solve:

Simplifying
3 + -8c2 + -9a4 = 0

Reorder the terms:
3 + -9a4 + -8c2 = 0

Solving
3 + -9a4 + -8c2 = 0

Move all terms containing a to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -9a4 + -3 + -8c2 = 0 + -3

Reorder the terms:
3 + -3 + -9a4 + -8c2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -9a4 + -8c2 = 0 + -3
-9a4 + -8c2 = 0 + -3

Combine like terms: 0 + -3 = -3
-9a4 + -8c2 = -3

Add '8c2' to each side of the equation.
-9a4 + -8c2 + 8c2 = -3 + 8c2

Combine like terms: -8c2 + 8c2 = 0
-9a4 + 0 = -3 + 8c2
-9a4 = -3 + 8c2

Divide each side by '-9'.
a4 = 0.3333333333 + -0.8888888889c2

Simplifying
a4 = 0.3333333333 + -0.8888888889c2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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