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Simplifying 3x(x + -5) + -12p = 2(8p + 12) Reorder the terms: 3x(-5 + x) + -12p = 2(8p + 12) (-5 * 3x + x * 3x) + -12p = 2(8p + 12) (-15x + 3x2) + -12p = 2(8p + 12) Reorder the terms: -12p + -15x + 3x2 = 2(8p + 12) Reorder the terms: -12p + -15x + 3x2 = 2(12 + 8p) -12p + -15x + 3x2 = (12 * 2 + 8p * 2) -12p + -15x + 3x2 = (24 + 16p) Solving -12p + -15x + 3x2 = 24 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. -12p + -15x + -16p + 3x2 = 24 + 16p + -16p Reorder the terms: -12p + -16p + -15x + 3x2 = 24 + 16p + -16p Combine like terms: -12p + -16p = -28p -28p + -15x + 3x2 = 24 + 16p + -16p Combine like terms: 16p + -16p = 0 -28p + -15x + 3x2 = 24 + 0 -28p + -15x + 3x2 = 24 Add '15x' to each side of the equation. -28p + -15x + 15x + 3x2 = 24 + 15x Combine like terms: -15x + 15x = 0 -28p + 0 + 3x2 = 24 + 15x -28p + 3x2 = 24 + 15x Add '-3x2' to each side of the equation. -28p + 3x2 + -3x2 = 24 + 15x + -3x2 Combine like terms: 3x2 + -3x2 = 0 -28p + 0 = 24 + 15x + -3x2 -28p = 24 + 15x + -3x2 Divide each side by '-28'. p = -0.8571428571 + -0.5357142857x + 0.1071428571x2 Simplifying p = -0.8571428571 + -0.5357142857x + 0.1071428571x2
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