F(x)=2x^3+x^2-15x

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Solution for F(x)=2x^3+x^2-15x equation:


Simplifying
F(x) = 2x3 + x2 + -15x

Multiply F * x
xF = 2x3 + x2 + -15x

Reorder the terms:
xF = -15x + x2 + 2x3

Solving
xF = -15x + x2 + 2x3

Solving for variable 'x'.

Reorder the terms:
15x + xF + -1x2 + -2x3 = -15x + x2 + 2x3 + 15x + -1x2 + -2x3

Reorder the terms:
15x + xF + -1x2 + -2x3 = -15x + 15x + x2 + -1x2 + 2x3 + -2x3

Combine like terms: -15x + 15x = 0
15x + xF + -1x2 + -2x3 = 0 + x2 + -1x2 + 2x3 + -2x3
15x + xF + -1x2 + -2x3 = x2 + -1x2 + 2x3 + -2x3

Combine like terms: x2 + -1x2 = 0
15x + xF + -1x2 + -2x3 = 0 + 2x3 + -2x3
15x + xF + -1x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
15x + xF + -1x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(15 + F + -1x + -2x2) = 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 '(15 + F + -1x + -2x2)' equal to zero and attempt to solve: Simplifying 15 + F + -1x + -2x2 = 0 Solving 15 + F + -1x + -2x2 = 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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