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Simplifying P(x) = (-0.15x2 + 153x) + -1(3x + 1000) Multiply P * x xP = (-0.15x2 + 153x) + -1(3x + 1000) Reorder the terms: xP = (153x + -0.15x2) + -1(3x + 1000) Remove parenthesis around (153x + -0.15x2) xP = 153x + -0.15x2 + -1(3x + 1000) Reorder the terms: xP = 153x + -0.15x2 + -1(1000 + 3x) xP = 153x + -0.15x2 + (1000 * -1 + 3x * -1) xP = 153x + -0.15x2 + (-1000 + -3x) Reorder the terms: xP = -1000 + 153x + -3x + -0.15x2 Combine like terms: 153x + -3x = 150x xP = -1000 + 150x + -0.15x2 Solving xP = -1000 + 150x + -0.15x2 Solving for variable 'x'. Reorder the terms: 1000 + -150x + xP + 0.15x2 = -1000 + 150x + -0.15x2 + 1000 + -150x + 0.15x2 Reorder the terms: 1000 + -150x + xP + 0.15x2 = -1000 + 1000 + 150x + -150x + -0.15x2 + 0.15x2 Combine like terms: -1000 + 1000 = 0 1000 + -150x + xP + 0.15x2 = 0 + 150x + -150x + -0.15x2 + 0.15x2 1000 + -150x + xP + 0.15x2 = 150x + -150x + -0.15x2 + 0.15x2 Combine like terms: 150x + -150x = 0 1000 + -150x + xP + 0.15x2 = 0 + -0.15x2 + 0.15x2 1000 + -150x + xP + 0.15x2 = -0.15x2 + 0.15x2 Combine like terms: -0.15x2 + 0.15x2 = 0.00 1000 + -150x + xP + 0.15x2 = 0.00 The solution to this equation could not be determined.
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