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Simplifying 12p2(p + 1) = 4(p + 1) + -13p(p + 1) Reorder the terms: 12p2(1 + p) = 4(p + 1) + -13p(p + 1) (1 * 12p2 + p * 12p2) = 4(p + 1) + -13p(p + 1) (12p2 + 12p3) = 4(p + 1) + -13p(p + 1) Reorder the terms: 12p2 + 12p3 = 4(1 + p) + -13p(p + 1) 12p2 + 12p3 = (1 * 4 + p * 4) + -13p(p + 1) 12p2 + 12p3 = (4 + 4p) + -13p(p + 1) Reorder the terms: 12p2 + 12p3 = 4 + 4p + -13p(1 + p) 12p2 + 12p3 = 4 + 4p + (1 * -13p + p * -13p) 12p2 + 12p3 = 4 + 4p + (-13p + -13p2) Combine like terms: 4p + -13p = -9p 12p2 + 12p3 = 4 + -9p + -13p2 Solving 12p2 + 12p3 = 4 + -9p + -13p2 Solving for variable 'p'. Reorder the terms: -4 + 9p + 12p2 + 13p2 + 12p3 = 4 + -9p + -13p2 + -4 + 9p + 13p2 Combine like terms: 12p2 + 13p2 = 25p2 -4 + 9p + 25p2 + 12p3 = 4 + -9p + -13p2 + -4 + 9p + 13p2 Reorder the terms: -4 + 9p + 25p2 + 12p3 = 4 + -4 + -9p + 9p + -13p2 + 13p2 Combine like terms: 4 + -4 = 0 -4 + 9p + 25p2 + 12p3 = 0 + -9p + 9p + -13p2 + 13p2 -4 + 9p + 25p2 + 12p3 = -9p + 9p + -13p2 + 13p2 Combine like terms: -9p + 9p = 0 -4 + 9p + 25p2 + 12p3 = 0 + -13p2 + 13p2 -4 + 9p + 25p2 + 12p3 = -13p2 + 13p2 Combine like terms: -13p2 + 13p2 = 0 -4 + 9p + 25p2 + 12p3 = 0 The solution to this equation could not be determined.
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