(5a^3+3a^3-3a+3)(3a^3-3a^2+3a-3)=0

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Solution for (5a^3+3a^3-3a+3)(3a^3-3a^2+3a-3)=0 equation: 


Simplifying
(5a3 + 3a3 + -3a + 3)(3a3 + -3a2 + 3a + -3) = 0

Reorder the terms:
(3 + -3a + 5a3 + 3a3)(3a3 + -3a2 + 3a + -3) = 0

Combine like terms: 5a3 + 3a3 = 8a3
(3 + -3a + 8a3)(3a3 + -3a2 + 3a + -3) = 0

Reorder the terms:
(3 + -3a + 8a3)(-3 + 3a + -3a2 + 3a3) = 0

Multiply (3 + -3a + 8a3) * (-3 + 3a + -3a2 + 3a3)
(3(-3 + 3a + -3a2 + 3a3) + -3a * (-3 + 3a + -3a2 + 3a3) + 8a3 * (-3 + 3a + -3a2 + 3a3)) = 0
((-3 * 3 + 3a * 3 + -3a2 * 3 + 3a3 * 3) + -3a * (-3 + 3a + -3a2 + 3a3) + 8a3 * (-3 + 3a + -3a2 + 3a3)) = 0
((-9 + 9a + -9a2 + 9a3) + -3a * (-3 + 3a + -3a2 + 3a3) + 8a3 * (-3 + 3a + -3a2 + 3a3)) = 0
(-9 + 9a + -9a2 + 9a3 + (-3 * -3a + 3a * -3a + -3a2 * -3a + 3a3 * -3a) + 8a3 * (-3 + 3a + -3a2 + 3a3)) = 0
(-9 + 9a + -9a2 + 9a3 + (9a + -9a2 + 9a3 + -9a4) + 8a3 * (-3 + 3a + -3a2 + 3a3)) = 0
(-9 + 9a + -9a2 + 9a3 + 9a + -9a2 + 9a3 + -9a4 + (-3 * 8a3 + 3a * 8a3 + -3a2 * 8a3 + 3a3 * 8a3)) = 0
(-9 + 9a + -9a2 + 9a3 + 9a + -9a2 + 9a3 + -9a4 + (-24a3 + 24a4 + -24a5 + 24a6)) = 0

Reorder the terms:
(-9 + 9a + 9a + -9a2 + -9a2 + 9a3 + 9a3 + -24a3 + -9a4 + 24a4 + -24a5 + 24a6) = 0

Combine like terms: 9a + 9a = 18a
(-9 + 18a + -9a2 + -9a2 + 9a3 + 9a3 + -24a3 + -9a4 + 24a4 + -24a5 + 24a6) = 0

Combine like terms: -9a2 + -9a2 = -18a2
(-9 + 18a + -18a2 + 9a3 + 9a3 + -24a3 + -9a4 + 24a4 + -24a5 + 24a6) = 0

Combine like terms: 9a3 + 9a3 = 18a3
(-9 + 18a + -18a2 + 18a3 + -24a3 + -9a4 + 24a4 + -24a5 + 24a6) = 0

Combine like terms: 18a3 + -24a3 = -6a3
(-9 + 18a + -18a2 + -6a3 + -9a4 + 24a4 + -24a5 + 24a6) = 0

Combine like terms: -9a4 + 24a4 = 15a4
(-9 + 18a + -18a2 + -6a3 + 15a4 + -24a5 + 24a6) = 0

Solving
-9 + 18a + -18a2 + -6a3 + 15a4 + -24a5 + 24a6 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-3 + 6a + -6a2 + -2a3 + 5a4 + -8a5 + 8a6) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-3 + 6a + -6a2 + -2a3 + 5a4 + -8a5 + 8a6)' equal to zero and attempt to solve:

Simplifying
-3 + 6a + -6a2 + -2a3 + 5a4 + -8a5 + 8a6 = 0

Solving
-3 + 6a + -6a2 + -2a3 + 5a4 + -8a5 + 8a6 = 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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