(5a+3)(4a^2+6)=16

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Solution for (5a+3)(4a^2+6)=16 equation:


Simplifying
(5a + 3)(4a2 + 6) = 16

Reorder the terms:
(3 + 5a)(4a2 + 6) = 16

Reorder the terms:
(3 + 5a)(6 + 4a2) = 16

Multiply (3 + 5a) * (6 + 4a2)
(3(6 + 4a2) + 5a * (6 + 4a2)) = 16
((6 * 3 + 4a2 * 3) + 5a * (6 + 4a2)) = 16
((18 + 12a2) + 5a * (6 + 4a2)) = 16
(18 + 12a2 + (6 * 5a + 4a2 * 5a)) = 16
(18 + 12a2 + (30a + 20a3)) = 16

Reorder the terms:
(18 + 30a + 12a2 + 20a3) = 16
(18 + 30a + 12a2 + 20a3) = 16

Solving
18 + 30a + 12a2 + 20a3 = 16

Solving for variable 'a'.

Reorder the terms:
18 + -16 + 30a + 12a2 + 20a3 = 16 + -16

Combine like terms: 18 + -16 = 2
2 + 30a + 12a2 + 20a3 = 16 + -16

Combine like terms: 16 + -16 = 0
2 + 30a + 12a2 + 20a3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 15a + 6a2 + 10a3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + 15a + 6a2 + 10a3)' equal to zero and attempt to solve: Simplifying 1 + 15a + 6a2 + 10a3 = 0 Solving 1 + 15a + 6a2 + 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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