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Simplifying 6p2(p + 1) = 4(p + 1) + -5p(p + 1) Reorder the terms: 6p2(1 + p) = 4(p + 1) + -5p(p + 1) (1 * 6p2 + p * 6p2) = 4(p + 1) + -5p(p + 1) (6p2 + 6p3) = 4(p + 1) + -5p(p + 1) Reorder the terms: 6p2 + 6p3 = 4(1 + p) + -5p(p + 1) 6p2 + 6p3 = (1 * 4 + p * 4) + -5p(p + 1) 6p2 + 6p3 = (4 + 4p) + -5p(p + 1) Reorder the terms: 6p2 + 6p3 = 4 + 4p + -5p(1 + p) 6p2 + 6p3 = 4 + 4p + (1 * -5p + p * -5p) 6p2 + 6p3 = 4 + 4p + (-5p + -5p2) Combine like terms: 4p + -5p = -1p 6p2 + 6p3 = 4 + -1p + -5p2 Solving 6p2 + 6p3 = 4 + -1p + -5p2 Solving for variable 'p'. Reorder the terms: -4 + p + 6p2 + 5p2 + 6p3 = 4 + -1p + -5p2 + -4 + p + 5p2 Combine like terms: 6p2 + 5p2 = 11p2 -4 + p + 11p2 + 6p3 = 4 + -1p + -5p2 + -4 + p + 5p2 Reorder the terms: -4 + p + 11p2 + 6p3 = 4 + -4 + -1p + p + -5p2 + 5p2 Combine like terms: 4 + -4 = 0 -4 + p + 11p2 + 6p3 = 0 + -1p + p + -5p2 + 5p2 -4 + p + 11p2 + 6p3 = -1p + p + -5p2 + 5p2 Combine like terms: -1p + p = 0 -4 + p + 11p2 + 6p3 = 0 + -5p2 + 5p2 -4 + p + 11p2 + 6p3 = -5p2 + 5p2 Combine like terms: -5p2 + 5p2 = 0 -4 + p + 11p2 + 6p3 = 0 The solution to this equation could not be determined.
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