(5a^2-4)(a+1)=a+16

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Solution for (5a^2-4)(a+1)=a+16 equation: 


Simplifying
(5a2 + -4)(a + 1) = a + 16

Reorder the terms:
(-4 + 5a2)(a + 1) = a + 16

Reorder the terms:
(-4 + 5a2)(1 + a) = a + 16

Multiply (-4 + 5a2) * (1 + a)
(-4(1 + a) + 5a2 * (1 + a)) = a + 16
((1 * -4 + a * -4) + 5a2 * (1 + a)) = a + 16
((-4 + -4a) + 5a2 * (1 + a)) = a + 16
(-4 + -4a + (1 * 5a2 + a * 5a2)) = a + 16
(-4 + -4a + (5a2 + 5a3)) = a + 16
(-4 + -4a + 5a2 + 5a3) = a + 16

Reorder the terms:
-4 + -4a + 5a2 + 5a3 = 16 + a

Solving
-4 + -4a + 5a2 + 5a3 = 16 + a

Solving for variable 'a'.

Reorder the terms:
-4 + -16 + -4a + -1a + 5a2 + 5a3 = 16 + a + -16 + -1a

Combine like terms: -4 + -16 = -20
-20 + -4a + -1a + 5a2 + 5a3 = 16 + a + -16 + -1a

Combine like terms: -4a + -1a = -5a
-20 + -5a + 5a2 + 5a3 = 16 + a + -16 + -1a

Reorder the terms:
-20 + -5a + 5a2 + 5a3 = 16 + -16 + a + -1a

Combine like terms: 16 + -16 = 0
-20 + -5a + 5a2 + 5a3 = 0 + a + -1a
-20 + -5a + 5a2 + 5a3 = a + -1a

Combine like terms: a + -1a = 0
-20 + -5a + 5a2 + 5a3 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + -1a + a2 + a3) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-4 + -1a + a2 + a3)' equal to zero and attempt to solve:

Simplifying
-4 + -1a + a2 + a3 = 0

Solving
-4 + -1a + a2 + a3 = 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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