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Simplifying P(x) = -25x2 + -40x Multiply P * x xP = -25x2 + -40x Reorder the terms: xP = -40x + -25x2 Solving xP = -40x + -25x2 Solving for variable 'x'. Reorder the terms: 40x + xP + 25x2 = -40x + -25x2 + 40x + 25x2 Reorder the terms: 40x + xP + 25x2 = -40x + 40x + -25x2 + 25x2 Combine like terms: -40x + 40x = 0 40x + xP + 25x2 = 0 + -25x2 + 25x2 40x + xP + 25x2 = -25x2 + 25x2 Combine like terms: -25x2 + 25x2 = 0 40x + xP + 25x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(40 + P + 25x) = 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 '(40 + P + 25x)' equal to zero and attempt to solve: Simplifying 40 + P + 25x = 0 Solving 40 + P + 25x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + P + -40 + 25x = 0 + -40 Reorder the terms: 40 + -40 + P + 25x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + P + 25x = 0 + -40 P + 25x = 0 + -40 Combine like terms: 0 + -40 = -40 P + 25x = -40 Add '-1P' to each side of the equation. P + -1P + 25x = -40 + -1P Combine like terms: P + -1P = 0 0 + 25x = -40 + -1P 25x = -40 + -1P Divide each side by '25'. x = -1.6 + -0.04P Simplifying x = -1.6 + -0.04PSolution
x = {0, -1.6 + -0.04P}
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