(4a^4-6a^3+a^2)(3a^2+2a)=0

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Solution for (4a^4-6a^3+a^2)(3a^2+2a)=0 equation: 


Simplifying
(4a4 + -6a3 + a2)(3a2 + 2a) = 0

Reorder the terms:
(a2 + -6a3 + 4a4)(3a2 + 2a) = 0

Reorder the terms:
(a2 + -6a3 + 4a4)(2a + 3a2) = 0

Multiply (a2 + -6a3 + 4a4) * (2a + 3a2)
(a2(2a + 3a2) + -6a3 * (2a + 3a2) + 4a4 * (2a + 3a2)) = 0
((2a * a2 + 3a2 * a2) + -6a3 * (2a + 3a2) + 4a4 * (2a + 3a2)) = 0
((2a3 + 3a4) + -6a3 * (2a + 3a2) + 4a4 * (2a + 3a2)) = 0
(2a3 + 3a4 + (2a * -6a3 + 3a2 * -6a3) + 4a4 * (2a + 3a2)) = 0
(2a3 + 3a4 + (-12a4 + -18a5) + 4a4 * (2a + 3a2)) = 0
(2a3 + 3a4 + -12a4 + -18a5 + (2a * 4a4 + 3a2 * 4a4)) = 0
(2a3 + 3a4 + -12a4 + -18a5 + (8a5 + 12a6)) = 0

Combine like terms: 3a4 + -12a4 = -9a4
(2a3 + -9a4 + -18a5 + 8a5 + 12a6) = 0

Combine like terms: -18a5 + 8a5 = -10a5
(2a3 + -9a4 + -10a5 + 12a6) = 0

Solving
2a3 + -9a4 + -10a5 + 12a6 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a3'.
a3(2 + -9a + -10a2 + 12a3) = 0


Subproblem 1
Set the factor 'a3' equal to zero and attempt to solve:

Simplifying
a3 = 0

Solving
a3 = 0

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

Simplifying
a3 = 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 '(2 + -9a + -10a2 + 12a3)' equal to zero and attempt to solve:

Simplifying
2 + -9a + -10a2 + 12a3 = 0

Solving
2 + -9a + -10a2 + 12a3 = 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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