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Simplifying P(x) = 2x4 + -54x Multiply P * x xP = 2x4 + -54x Reorder the terms: xP = -54x + 2x4 Solving xP = -54x + 2x4 Solving for variable 'x'. Reorder the terms: 54x + xP + -2x4 = -54x + 2x4 + 54x + -2x4 Reorder the terms: 54x + xP + -2x4 = -54x + 54x + 2x4 + -2x4 Combine like terms: -54x + 54x = 0 54x + xP + -2x4 = 0 + 2x4 + -2x4 54x + xP + -2x4 = 2x4 + -2x4 Combine like terms: 2x4 + -2x4 = 0 54x + xP + -2x4 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(54 + P + -2x3) = 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 '(54 + P + -2x3)' equal to zero and attempt to solve: Simplifying 54 + P + -2x3 = 0 Solving 54 + P + -2x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + P + -54 + -2x3 = 0 + -54 Reorder the terms: 54 + -54 + P + -2x3 = 0 + -54 Combine like terms: 54 + -54 = 0 0 + P + -2x3 = 0 + -54 P + -2x3 = 0 + -54 Combine like terms: 0 + -54 = -54 P + -2x3 = -54 Add '-1P' to each side of the equation. P + -1P + -2x3 = -54 + -1P Combine like terms: P + -1P = 0 0 + -2x3 = -54 + -1P -2x3 = -54 + -1P Divide each side by '-2'. x3 = 27 + 0.5P Simplifying x3 = 27 + 0.5P 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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