(3a^3-81)(5a-7a+12)=0

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Solution for (3a^3-81)(5a-7a+12)=0 equation: 


Simplifying
(3a3 + -81)(5a + -7a + 12) = 0

Reorder the terms:
(-81 + 3a3)(5a + -7a + 12) = 0

Reorder the terms:
(-81 + 3a3)(12 + 5a + -7a) = 0

Combine like terms: 5a + -7a = -2a
(-81 + 3a3)(12 + -2a) = 0

Multiply (-81 + 3a3) * (12 + -2a)
(-81(12 + -2a) + 3a3 * (12 + -2a)) = 0
((12 * -81 + -2a * -81) + 3a3 * (12 + -2a)) = 0
((-972 + 162a) + 3a3 * (12 + -2a)) = 0
(-972 + 162a + (12 * 3a3 + -2a * 3a3)) = 0
(-972 + 162a + (36a3 + -6a4)) = 0
(-972 + 162a + 36a3 + -6a4) = 0

Solving
-972 + 162a + 36a3 + -6a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-162 + 27a + 6a3 + -1a4) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-162 + 27a + 6a3 + -1a4)' equal to zero and attempt to solve:

Simplifying
-162 + 27a + 6a3 + -1a4 = 0

Solving
-162 + 27a + 6a3 + -1a4 = 0

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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