f(a)=-3a^3+4a^2

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Solution for f(a)=-3a^3+4a^2 equation: 


Simplifying
f(a) = -3a3 + 4a2

Multiply f * a
af = -3a3 + 4a2

Reorder the terms:
af = 4a2 + -3a3

Solving
af = 4a2 + -3a3

Solving for variable 'a'.

Reorder the terms:
af + -4a2 + 3a3 = 4a2 + -4a2 + -3a3 + 3a3

Combine like terms: 4a2 + -4a2 = 0
af + -4a2 + 3a3 = 0 + -3a3 + 3a3
af + -4a2 + 3a3 = -3a3 + 3a3

Combine like terms: -3a3 + 3a3 = 0
af + -4a2 + 3a3 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(f + -4a + 3a2) = 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 '(f + -4a + 3a2)' equal to zero and attempt to solve:

Simplifying
f + -4a + 3a2 = 0

Reorder the terms:
-4a + 3a2 + f = 0

Solving
-4a + 3a2 + f = 0

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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