=(4a+6)(a^2-6a-8)

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Solution for =(4a+6)(a^2-6a-8) equation: 


Simplifying
0 = (4a + 6)(a2 + -6a + -8)

Reorder the terms:
0 = (6 + 4a)(a2 + -6a + -8)

Reorder the terms:
0 = (6 + 4a)(-8 + -6a + a2)

Multiply (6 + 4a) * (-8 + -6a + a2)
0 = (6(-8 + -6a + a2) + 4a * (-8 + -6a + a2))
0 = ((-8 * 6 + -6a * 6 + a2 * 6) + 4a * (-8 + -6a + a2))
0 = ((-48 + -36a + 6a2) + 4a * (-8 + -6a + a2))
0 = (-48 + -36a + 6a2 + (-8 * 4a + -6a * 4a + a2 * 4a))
0 = (-48 + -36a + 6a2 + (-32a + -24a2 + 4a3))

Reorder the terms:
0 = (-48 + -36a + -32a + 6a2 + -24a2 + 4a3)

Combine like terms: -36a + -32a = -68a
0 = (-48 + -68a + 6a2 + -24a2 + 4a3)

Combine like terms: 6a2 + -24a2 = -18a2
0 = (-48 + -68a + -18a2 + 4a3)

Solving
0 = -48 + -68a + -18a2 + 4a3

Solving for variable 'a'.

Combine like terms: 0 + 48 = 48
48 + 68a + 18a2 + -4a3 = -48 + -68a + -18a2 + 4a3 + 48 + 68a + 18a2 + -4a3

Reorder the terms:
48 + 68a + 18a2 + -4a3 = -48 + 48 + -68a + 68a + -18a2 + 18a2 + 4a3 + -4a3

Combine like terms: -48 + 48 = 0
48 + 68a + 18a2 + -4a3 = 0 + -68a + 68a + -18a2 + 18a2 + 4a3 + -4a3
48 + 68a + 18a2 + -4a3 = -68a + 68a + -18a2 + 18a2 + 4a3 + -4a3

Combine like terms: -68a + 68a = 0
48 + 68a + 18a2 + -4a3 = 0 + -18a2 + 18a2 + 4a3 + -4a3
48 + 68a + 18a2 + -4a3 = -18a2 + 18a2 + 4a3 + -4a3

Combine like terms: -18a2 + 18a2 = 0
48 + 68a + 18a2 + -4a3 = 0 + 4a3 + -4a3
48 + 68a + 18a2 + -4a3 = 4a3 + -4a3

Combine like terms: 4a3 + -4a3 = 0
48 + 68a + 18a2 + -4a3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + 34a + 9a2 + -2a3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(24 + 34a + 9a2 + -2a3)' equal to zero and attempt to solve:

Simplifying
24 + 34a + 9a2 + -2a3 = 0

Solving
24 + 34a + 9a2 + -2a3 = 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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