8x^3-12x=f(x)

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Solution for 8x^3-12x=f(x) equation: 


Simplifying
8x3 + -12x = f(x)

Reorder the terms:
-12x + 8x3 = f(x)

Multiply f * x
-12x + 8x3 = fx

Solving
-12x + 8x3 = fx

Solving for variable 'x'.

Reorder the terms:
-1fx + -12x + 8x3 = fx + -1fx

Combine like terms: fx + -1fx = 0
-1fx + -12x + 8x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1f + -12 + 8x2) = 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 '(-1f + -12 + 8x2)' equal to zero and attempt to solve:

Simplifying
-1f + -12 + 8x2 = 0

Reorder the terms:
-12 + -1f + 8x2 = 0

Solving
-12 + -1f + 8x2 = 0

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

Add '12' to each side of the equation.
-12 + -1f + 12 + 8x2 = 0 + 12

Reorder the terms:
-12 + 12 + -1f + 8x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1f + 8x2 = 0 + 12
-1f + 8x2 = 0 + 12

Combine like terms: 0 + 12 = 12
-1f + 8x2 = 12

Add 'f' to each side of the equation.
-1f + f + 8x2 = 12 + f

Combine like terms: -1f + f = 0
0 + 8x2 = 12 + f
8x2 = 12 + f

Divide each side by '8'.
x2 = 1.5 + 0.125f

Simplifying
x2 = 1.5 + 0.125f

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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