P(a)=36a^3-16a

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Solution for P(a)=36a^3-16a equation: 


Simplifying
P(a) = 36a3 + -16a

Multiply P * a
aP = 36a3 + -16a

Reorder the terms:
aP = -16a + 36a3

Solving
aP = -16a + 36a3

Solving for variable 'a'.

Reorder the terms:
16a + aP + -36a3 = -16a + 36a3 + 16a + -36a3

Reorder the terms:
16a + aP + -36a3 = -16a + 16a + 36a3 + -36a3

Combine like terms: -16a + 16a = 0
16a + aP + -36a3 = 0 + 36a3 + -36a3
16a + aP + -36a3 = 36a3 + -36a3

Combine like terms: 36a3 + -36a3 = 0
16a + aP + -36a3 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(16 + P + -36a2) = 0


Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

Move all terms containing a to the left, all other terms to the right.

Simplifying
a = 0

Subproblem 2
Set the factor '(16 + P + -36a2)' equal to zero and attempt to solve:

Simplifying
16 + P + -36a2 = 0

Solving
16 + P + -36a2 = 0

Move all terms containing a to the left, all other terms to the right.

Add '-16' to each side of the equation.
16 + P + -16 + -36a2 = 0 + -16

Reorder the terms:
16 + -16 + P + -36a2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + P + -36a2 = 0 + -16
P + -36a2 = 0 + -16

Combine like terms: 0 + -16 = -16
P + -36a2 = -16

Add '-1P' to each side of the equation.
P + -1P + -36a2 = -16 + -1P

Combine like terms: P + -1P = 0
0 + -36a2 = -16 + -1P
-36a2 = -16 + -1P

Divide each side by '-36'.
a2 = 0.4444444444 + 0.02777777778P

Simplifying
a2 = 0.4444444444 + 0.02777777778P

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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