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Simplifying 0 = (p + -3)(12 + -0.5P) Reorder the terms: 0 = (-3 + p)(12 + -0.5P) Multiply (-3 + p) * (12 + -0.5P) 0 = (-3(12 + -0.5P) + p(12 + -0.5P)) 0 = ((12 * -3 + -0.5P * -3) + p(12 + -0.5P)) 0 = ((-36 + 1.5P) + p(12 + -0.5P)) 0 = (-36 + 1.5P + (12 * p + -0.5P * p)) 0 = (-36 + 1.5P + (12p + -0.5pP)) 0 = (-36 + 1.5P + 12p + -0.5pP) Solving 0 = -36 + 1.5P + 12p + -0.5pP Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-1.5P' to each side of the equation. 0 + -1.5P = -36 + 1.5P + 12p + -1.5P + -0.5pP Remove the zero: -1.5P = -36 + 1.5P + 12p + -1.5P + -0.5pP Reorder the terms: -1.5P = -36 + 1.5P + -1.5P + 12p + -0.5pP Combine like terms: 1.5P + -1.5P = 0.0 -1.5P = -36 + 0.0 + 12p + -0.5pP -1.5P = -36 + 12p + -0.5pP Add '0.5pP' to each side of the equation. -1.5P + 0.5pP = -36 + 12p + -0.5pP + 0.5pP Combine like terms: -0.5pP + 0.5pP = 0.0 -1.5P + 0.5pP = -36 + 12p + 0.0 -1.5P + 0.5pP = -36 + 12p Reorder the terms: 36 + -1.5P + -12p + 0.5pP = -36 + 12p + 36 + -12p Reorder the terms: 36 + -1.5P + -12p + 0.5pP = -36 + 36 + 12p + -12p Combine like terms: -36 + 36 = 0 36 + -1.5P + -12p + 0.5pP = 0 + 12p + -12p 36 + -1.5P + -12p + 0.5pP = 12p + -12p Combine like terms: 12p + -12p = 0 36 + -1.5P + -12p + 0.5pP = 0 The solution to this equation could not be determined.
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