F(x)=3x^5-3x^4-18x^3

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Solution for F(x)=3x^5-3x^4-18x^3 equation:


Simplifying
F(x) = 3x5 + -3x4 + -18x3

Multiply F * x
xF = 3x5 + -3x4 + -18x3

Reorder the terms:
xF = -18x3 + -3x4 + 3x5

Solving
xF = -18x3 + -3x4 + 3x5

Solving for variable 'x'.

Reorder the terms:
xF + 18x3 + 3x4 + -3x5 = -18x3 + 18x3 + -3x4 + 3x4 + 3x5 + -3x5

Combine like terms: -18x3 + 18x3 = 0
xF + 18x3 + 3x4 + -3x5 = 0 + -3x4 + 3x4 + 3x5 + -3x5
xF + 18x3 + 3x4 + -3x5 = -3x4 + 3x4 + 3x5 + -3x5

Combine like terms: -3x4 + 3x4 = 0
xF + 18x3 + 3x4 + -3x5 = 0 + 3x5 + -3x5
xF + 18x3 + 3x4 + -3x5 = 3x5 + -3x5

Combine like terms: 3x5 + -3x5 = 0
xF + 18x3 + 3x4 + -3x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(F + 18x2 + 3x3 + -3x4) = 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 + 18x2 + 3x3 + -3x4)' equal to zero and attempt to solve: Simplifying F + 18x2 + 3x3 + -3x4 = 0 Solving F + 18x2 + 3x3 + -3x4 = 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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