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Simplifying F(x) = 7x4 + -3x + x2 + 5x + -9x Multiply F * x xF = 7x4 + -3x + x2 + 5x + -9x Reorder the terms: xF = -3x + 5x + -9x + x2 + 7x4 Combine like terms: -3x + 5x = 2x xF = 2x + -9x + x2 + 7x4 Combine like terms: 2x + -9x = -7x xF = -7x + x2 + 7x4 Solving xF = -7x + x2 + 7x4 Solving for variable 'x'. Reorder the terms: 7x + xF + -1x2 + -7x4 = -7x + x2 + 7x4 + 7x + -1x2 + -7x4 Reorder the terms: 7x + xF + -1x2 + -7x4 = -7x + 7x + x2 + -1x2 + 7x4 + -7x4 Combine like terms: -7x + 7x = 0 7x + xF + -1x2 + -7x4 = 0 + x2 + -1x2 + 7x4 + -7x4 7x + xF + -1x2 + -7x4 = x2 + -1x2 + 7x4 + -7x4 Combine like terms: x2 + -1x2 = 0 7x + xF + -1x2 + -7x4 = 0 + 7x4 + -7x4 7x + xF + -1x2 + -7x4 = 7x4 + -7x4 Combine like terms: 7x4 + -7x4 = 0 7x + xF + -1x2 + -7x4 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(7 + F + -1x + -7x3) = 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 '(7 + F + -1x + -7x3)' equal to zero and attempt to solve: Simplifying 7 + F + -1x + -7x3 = 0 Solving 7 + F + -1x + -7x3 = 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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