(4a-6)(5a^2-3a-6)=

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Solution for (4a-6)(5a^2-3a-6)= equation:


Simplifying
(4a + -6)(5a2 + -3a + -6) = 0

Reorder the terms:
(-6 + 4a)(5a2 + -3a + -6) = 0

Reorder the terms:
(-6 + 4a)(-6 + -3a + 5a2) = 0

Multiply (-6 + 4a) * (-6 + -3a + 5a2)
(-6(-6 + -3a + 5a2) + 4a * (-6 + -3a + 5a2)) = 0
((-6 * -6 + -3a * -6 + 5a2 * -6) + 4a * (-6 + -3a + 5a2)) = 0
((36 + 18a + -30a2) + 4a * (-6 + -3a + 5a2)) = 0
(36 + 18a + -30a2 + (-6 * 4a + -3a * 4a + 5a2 * 4a)) = 0
(36 + 18a + -30a2 + (-24a + -12a2 + 20a3)) = 0

Reorder the terms:
(36 + 18a + -24a + -30a2 + -12a2 + 20a3) = 0

Combine like terms: 18a + -24a = -6a
(36 + -6a + -30a2 + -12a2 + 20a3) = 0

Combine like terms: -30a2 + -12a2 = -42a2
(36 + -6a + -42a2 + 20a3) = 0

Solving
36 + -6a + -42a2 + 20a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + -3a + -21a2 + 10a3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(18 + -3a + -21a2 + 10a3)' equal to zero and attempt to solve: Simplifying 18 + -3a + -21a2 + 10a3 = 0 Solving 18 + -3a + -21a2 + 10a3 = 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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