F(x)=2x^3+3x^2-9x

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Solution for F(x)=2x^3+3x^2-9x equation:


Simplifying
F(x) = 2x3 + 3x2 + -9x

Multiply F * x
xF = 2x3 + 3x2 + -9x

Reorder the terms:
xF = -9x + 3x2 + 2x3

Solving
xF = -9x + 3x2 + 2x3

Solving for variable 'x'.

Reorder the terms:
9x + xF + -3x2 + -2x3 = -9x + 3x2 + 2x3 + 9x + -3x2 + -2x3

Reorder the terms:
9x + xF + -3x2 + -2x3 = -9x + 9x + 3x2 + -3x2 + 2x3 + -2x3

Combine like terms: -9x + 9x = 0
9x + xF + -3x2 + -2x3 = 0 + 3x2 + -3x2 + 2x3 + -2x3
9x + xF + -3x2 + -2x3 = 3x2 + -3x2 + 2x3 + -2x3

Combine like terms: 3x2 + -3x2 = 0
9x + xF + -3x2 + -2x3 = 0 + 2x3 + -2x3
9x + xF + -3x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
9x + xF + -3x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + F + -3x + -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 '(9 + F + -3x + -2x2)' equal to zero and attempt to solve: Simplifying 9 + F + -3x + -2x2 = 0 Solving 9 + F + -3x + -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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