0=a+6a^2+9a^3+16

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Solution for 0=a+6a^2+9a^3+16 equation:


Simplifying
0 = a + 6a2 + 9a3 + 16

Reorder the terms:
0 = 16 + a + 6a2 + 9a3

Solving
0 = 16 + a + 6a2 + 9a3

Solving for variable 'a'.

Combine like terms: 0 + -16 = -16
-16 + -1a + -6a2 + -9a3 = 16 + a + 6a2 + 9a3 + -16 + -1a + -6a2 + -9a3

Reorder the terms:
-16 + -1a + -6a2 + -9a3 = 16 + -16 + a + -1a + 6a2 + -6a2 + 9a3 + -9a3

Combine like terms: 16 + -16 = 0
-16 + -1a + -6a2 + -9a3 = 0 + a + -1a + 6a2 + -6a2 + 9a3 + -9a3
-16 + -1a + -6a2 + -9a3 = a + -1a + 6a2 + -6a2 + 9a3 + -9a3

Combine like terms: a + -1a = 0
-16 + -1a + -6a2 + -9a3 = 0 + 6a2 + -6a2 + 9a3 + -9a3
-16 + -1a + -6a2 + -9a3 = 6a2 + -6a2 + 9a3 + -9a3

Combine like terms: 6a2 + -6a2 = 0
-16 + -1a + -6a2 + -9a3 = 0 + 9a3 + -9a3
-16 + -1a + -6a2 + -9a3 = 9a3 + -9a3

Combine like terms: 9a3 + -9a3 = 0
-16 + -1a + -6a2 + -9a3 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(16 + a + 6a2 + 9a3) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(16 + a + 6a2 + 9a3)' equal to zero and attempt to solve: Simplifying 16 + a + 6a2 + 9a3 = 0 Solving 16 + a + 6a2 + 9a3 = 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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