F(x)=x^3+5x^2-36x

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Solution for F(x)=x^3+5x^2-36x equation:


Simplifying
F(x) = x3 + 5x2 + -36x

Multiply F * x
xF = x3 + 5x2 + -36x

Reorder the terms:
xF = -36x + 5x2 + x3

Solving
xF = -36x + 5x2 + x3

Solving for variable 'x'.

Reorder the terms:
36x + xF + -5x2 + -1x3 = -36x + 5x2 + x3 + 36x + -5x2 + -1x3

Reorder the terms:
36x + xF + -5x2 + -1x3 = -36x + 36x + 5x2 + -5x2 + x3 + -1x3

Combine like terms: -36x + 36x = 0
36x + xF + -5x2 + -1x3 = 0 + 5x2 + -5x2 + x3 + -1x3
36x + xF + -5x2 + -1x3 = 5x2 + -5x2 + x3 + -1x3

Combine like terms: 5x2 + -5x2 = 0
36x + xF + -5x2 + -1x3 = 0 + x3 + -1x3
36x + xF + -5x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
36x + xF + -5x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(36 + F + -5x + -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 '(36 + F + -5x + -1x2)' equal to zero and attempt to solve: Simplifying 36 + F + -5x + -1x2 = 0 Solving 36 + F + -5x + -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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