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Simplifying P(x) = 0.2x * 2 + 8x Multiply P * x xP = 0.2x * 2 + 8x Reorder the terms for easier multiplication: xP = 0.2 * 2x + 8x Multiply 0.2 * 2 xP = 0.4x + 8x Combine like terms: 0.4x + 8x = 8.4x xP = 8.4x Solving xP = 8.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.4x' to each side of the equation. -8.4x + xP = 8.4x + -8.4x Combine like terms: 8.4x + -8.4x = 0.0 -8.4x + xP = 0.0 Factor out the Greatest Common Factor (GCF), 'x'. x(-8.4 + P) = 0.0Subproblem 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 '(-8.4 + P)' equal to zero and attempt to solve: Simplifying -8.4 + P = 0 Solving -8.4 + P = 0 Move all terms containing x to the left, all other terms to the right. Add '8.4' to each side of the equation. -8.4 + 8.4 + P = 0 + 8.4 Combine like terms: -8.4 + 8.4 = 0.0 0.0 + P = 0 + 8.4 P = 0 + 8.4 Combine like terms: 0 + 8.4 = 8.4 P = 8.4 Add '-1P' to each side of the equation. P + -1P = 8.4 + -1P Combine like terms: P + -1P = 0 0 = 8.4 + -1P Simplifying 0 = 8.4 + -1P 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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