F(x)=ax^3+bx^2

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Solution for F(x)=ax^3+bx^2 equation: 


Simplifying
F(x) = ax3 + bx2

Multiply F * x
xF = ax3 + bx2

Solving
xF = ax3 + bx2

Solving for variable 'x'.

Reorder the terms:
-1ax3 + -1bx2 + xF = ax3 + bx2 + -1ax3 + -1bx2

Reorder the terms:
-1ax3 + -1bx2 + xF = ax3 + -1ax3 + bx2 + -1bx2

Combine like terms: ax3 + -1ax3 = 0
-1ax3 + -1bx2 + xF = 0 + bx2 + -1bx2
-1ax3 + -1bx2 + xF = bx2 + -1bx2

Combine like terms: bx2 + -1bx2 = 0
-1ax3 + -1bx2 + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1ax2 + -1bx + F) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-1ax2 + -1bx + F)' equal to zero and attempt to solve:

Simplifying
-1ax2 + -1bx + F = 0

Reorder the terms:
F + -1ax2 + -1bx = 0

Solving
F + -1ax2 + -1bx = 0

The solution to this equation could not be determined.

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

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