-6a^3c^6(8c^5+4a-9)=0

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Solution for -6a^3c^6(8c^5+4a-9)=0 equation: 


Simplifying
-6a3c6(8c5 + 4a + -9) = 0

Reorder the terms:
-6a3c6(-9 + 4a + 8c5) = 0
(-9 * -6a3c6 + 4a * -6a3c6 + 8c5 * -6a3c6) = 0

Reorder the terms:
(54a3c6 + -48a3c11 + -24a4c6) = 0
(54a3c6 + -48a3c11 + -24a4c6) = 0

Solving
54a3c6 + -48a3c11 + -24a4c6 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6a3c6'.
6a3c6(9 + -8c5 + -4a) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'a3c6' equal to zero and attempt to solve:

Simplifying
a3c6 = 0

Solving
a3c6 = 0

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

Simplifying
a3c6 = 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 '(9 + -8c5 + -4a)' equal to zero and attempt to solve:

Simplifying
9 + -8c5 + -4a = 0

Reorder the terms:
9 + -4a + -8c5 = 0

Solving
9 + -4a + -8c5 = 0

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

Add '-9' to each side of the equation.
9 + -4a + -9 + -8c5 = 0 + -9

Reorder the terms:
9 + -9 + -4a + -8c5 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4a + -8c5 = 0 + -9
-4a + -8c5 = 0 + -9

Combine like terms: 0 + -9 = -9
-4a + -8c5 = -9

Add '8c5' to each side of the equation.
-4a + -8c5 + 8c5 = -9 + 8c5

Combine like terms: -8c5 + 8c5 = 0
-4a + 0 = -9 + 8c5
-4a = -9 + 8c5

Divide each side by '-4'.
a = 2.25 + -2c5

Simplifying
a = 2.25 + -2c5
Solution
a = {2.25 + -2c5}

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