F(x)=x^3-4x^2-5x

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Solution for F(x)=x^3-4x^2-5x equation:


Simplifying
F(x) = x3 + -4x2 + -5x

Multiply F * x
xF = x3 + -4x2 + -5x

Reorder the terms:
xF = -5x + -4x2 + x3

Solving
xF = -5x + -4x2 + x3

Solving for variable 'x'.

Reorder the terms:
5x + xF + 4x2 + -1x3 = -5x + -4x2 + x3 + 5x + 4x2 + -1x3

Reorder the terms:
5x + xF + 4x2 + -1x3 = -5x + 5x + -4x2 + 4x2 + x3 + -1x3

Combine like terms: -5x + 5x = 0
5x + xF + 4x2 + -1x3 = 0 + -4x2 + 4x2 + x3 + -1x3
5x + xF + 4x2 + -1x3 = -4x2 + 4x2 + x3 + -1x3

Combine like terms: -4x2 + 4x2 = 0
5x + xF + 4x2 + -1x3 = 0 + x3 + -1x3
5x + xF + 4x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
5x + xF + 4x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + F + 4x + -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 '(5 + F + 4x + -1x2)' equal to zero and attempt to solve: Simplifying 5 + F + 4x + -1x2 = 0 Solving 5 + F + 4x + -1x2 = 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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