F(x)=2x^4-16x^3-9x^2

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Solution for F(x)=2x^4-16x^3-9x^2 equation:


Simplifying
F(x) = 2x4 + -16x3 + -9x2

Multiply F * x
xF = 2x4 + -16x3 + -9x2

Reorder the terms:
xF = -9x2 + -16x3 + 2x4

Solving
xF = -9x2 + -16x3 + 2x4

Solving for variable 'x'.

Reorder the terms:
xF + 9x2 + 16x3 + -2x4 = -9x2 + 9x2 + -16x3 + 16x3 + 2x4 + -2x4

Combine like terms: -9x2 + 9x2 = 0
xF + 9x2 + 16x3 + -2x4 = 0 + -16x3 + 16x3 + 2x4 + -2x4
xF + 9x2 + 16x3 + -2x4 = -16x3 + 16x3 + 2x4 + -2x4

Combine like terms: -16x3 + 16x3 = 0
xF + 9x2 + 16x3 + -2x4 = 0 + 2x4 + -2x4
xF + 9x2 + 16x3 + -2x4 = 2x4 + -2x4

Combine like terms: 2x4 + -2x4 = 0
xF + 9x2 + 16x3 + -2x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(F + 9x + 16x2 + -2x3) = 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 '(F + 9x + 16x2 + -2x3)' equal to zero and attempt to solve: Simplifying F + 9x + 16x2 + -2x3 = 0 Solving F + 9x + 16x2 + -2x3 = 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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