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

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


Simplifying
((8x) + -1(x3)) = f(x)

Remove parenthesis around ((8x) + -1x3)
(8x) + -1x3 = f(x)

Multiply f * x
(8x) + -1x3 = fx

Solving
(8x) + -1x3 = fx

Solving for variable 'x'.

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1f + 8 + -1x2) = 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 + 8 + -1x2)' equal to zero and attempt to solve: Simplifying -1f + 8 + -1x2 = 0 Reorder the terms: 8 + -1f + -1x2 = 0 Solving 8 + -1f + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -1f + -8 + -1x2 = 0 + -8 Reorder the terms: 8 + -8 + -1f + -1x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1f + -1x2 = 0 + -8 -1f + -1x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -1f + -1x2 = -8 Add 'f' to each side of the equation. -1f + f + -1x2 = -8 + f Combine like terms: -1f + f = 0 0 + -1x2 = -8 + f -1x2 = -8 + f Divide each side by '-1'. x2 = 8 + -1f Simplifying x2 = 8 + -1f 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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