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Simplifying F(x) = 9x3 + 54x2 + 45x Multiply F * x xF = 9x3 + 54x2 + 45x Reorder the terms: xF = 45x + 54x2 + 9x3 Solving xF = 45x + 54x2 + 9x3 Solving for variable 'x'. Reorder the terms: -45x + xF + -54x2 + -9x3 = 45x + 54x2 + 9x3 + -45x + -54x2 + -9x3 Reorder the terms: -45x + xF + -54x2 + -9x3 = 45x + -45x + 54x2 + -54x2 + 9x3 + -9x3 Combine like terms: 45x + -45x = 0 -45x + xF + -54x2 + -9x3 = 0 + 54x2 + -54x2 + 9x3 + -9x3 -45x + xF + -54x2 + -9x3 = 54x2 + -54x2 + 9x3 + -9x3 Combine like terms: 54x2 + -54x2 = 0 -45x + xF + -54x2 + -9x3 = 0 + 9x3 + -9x3 -45x + xF + -54x2 + -9x3 = 9x3 + -9x3 Combine like terms: 9x3 + -9x3 = 0 -45x + xF + -54x2 + -9x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-45 + F + -54x + -9x2) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(-45 + F + -54x + -9x2)' equal to zero and attempt to solve: Simplifying -45 + F + -54x + -9x2 = 0 Solving -45 + F + -54x + -9x2 = 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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