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Simplifying 12p2(p + 1) = 5(p + 1) + -17p(p + 1) Reorder the terms: 12p2(1 + p) = 5(p + 1) + -17p(p + 1) (1 * 12p2 + p * 12p2) = 5(p + 1) + -17p(p + 1) (12p2 + 12p3) = 5(p + 1) + -17p(p + 1) Reorder the terms: 12p2 + 12p3 = 5(1 + p) + -17p(p + 1) 12p2 + 12p3 = (1 * 5 + p * 5) + -17p(p + 1) 12p2 + 12p3 = (5 + 5p) + -17p(p + 1) Reorder the terms: 12p2 + 12p3 = 5 + 5p + -17p(1 + p) 12p2 + 12p3 = 5 + 5p + (1 * -17p + p * -17p) 12p2 + 12p3 = 5 + 5p + (-17p + -17p2) Combine like terms: 5p + -17p = -12p 12p2 + 12p3 = 5 + -12p + -17p2 Solving 12p2 + 12p3 = 5 + -12p + -17p2 Solving for variable 'p'. Reorder the terms: -5 + 12p + 12p2 + 17p2 + 12p3 = 5 + -12p + -17p2 + -5 + 12p + 17p2 Combine like terms: 12p2 + 17p2 = 29p2 -5 + 12p + 29p2 + 12p3 = 5 + -12p + -17p2 + -5 + 12p + 17p2 Reorder the terms: -5 + 12p + 29p2 + 12p3 = 5 + -5 + -12p + 12p + -17p2 + 17p2 Combine like terms: 5 + -5 = 0 -5 + 12p + 29p2 + 12p3 = 0 + -12p + 12p + -17p2 + 17p2 -5 + 12p + 29p2 + 12p3 = -12p + 12p + -17p2 + 17p2 Combine like terms: -12p + 12p = 0 -5 + 12p + 29p2 + 12p3 = 0 + -17p2 + 17p2 -5 + 12p + 29p2 + 12p3 = -17p2 + 17p2 Combine like terms: -17p2 + 17p2 = 0 -5 + 12p + 29p2 + 12p3 = 0 The solution to this equation could not be determined.
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