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Simplifying P(x) = 2x3 + 14x2 + -58x Multiply P * x xP = 2x3 + 14x2 + -58x Reorder the terms: xP = -58x + 14x2 + 2x3 Solving xP = -58x + 14x2 + 2x3 Solving for variable 'x'. Reorder the terms: 58x + xP + -14x2 + -2x3 = -58x + 14x2 + 2x3 + 58x + -14x2 + -2x3 Reorder the terms: 58x + xP + -14x2 + -2x3 = -58x + 58x + 14x2 + -14x2 + 2x3 + -2x3 Combine like terms: -58x + 58x = 0 58x + xP + -14x2 + -2x3 = 0 + 14x2 + -14x2 + 2x3 + -2x3 58x + xP + -14x2 + -2x3 = 14x2 + -14x2 + 2x3 + -2x3 Combine like terms: 14x2 + -14x2 = 0 58x + xP + -14x2 + -2x3 = 0 + 2x3 + -2x3 58x + xP + -14x2 + -2x3 = 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 58x + xP + -14x2 + -2x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(58 + P + -14x + -2x2) = 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 '(58 + P + -14x + -2x2)' equal to zero and attempt to solve: Simplifying 58 + P + -14x + -2x2 = 0 Solving 58 + P + -14x + -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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