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Simplifying 10p2(p + 1) = 8(p + 1) + -11p(p + 1) Reorder the terms: 10p2(1 + p) = 8(p + 1) + -11p(p + 1) (1 * 10p2 + p * 10p2) = 8(p + 1) + -11p(p + 1) (10p2 + 10p3) = 8(p + 1) + -11p(p + 1) Reorder the terms: 10p2 + 10p3 = 8(1 + p) + -11p(p + 1) 10p2 + 10p3 = (1 * 8 + p * 8) + -11p(p + 1) 10p2 + 10p3 = (8 + 8p) + -11p(p + 1) Reorder the terms: 10p2 + 10p3 = 8 + 8p + -11p(1 + p) 10p2 + 10p3 = 8 + 8p + (1 * -11p + p * -11p) 10p2 + 10p3 = 8 + 8p + (-11p + -11p2) Combine like terms: 8p + -11p = -3p 10p2 + 10p3 = 8 + -3p + -11p2 Solving 10p2 + 10p3 = 8 + -3p + -11p2 Solving for variable 'p'. Reorder the terms: -8 + 3p + 10p2 + 11p2 + 10p3 = 8 + -3p + -11p2 + -8 + 3p + 11p2 Combine like terms: 10p2 + 11p2 = 21p2 -8 + 3p + 21p2 + 10p3 = 8 + -3p + -11p2 + -8 + 3p + 11p2 Reorder the terms: -8 + 3p + 21p2 + 10p3 = 8 + -8 + -3p + 3p + -11p2 + 11p2 Combine like terms: 8 + -8 = 0 -8 + 3p + 21p2 + 10p3 = 0 + -3p + 3p + -11p2 + 11p2 -8 + 3p + 21p2 + 10p3 = -3p + 3p + -11p2 + 11p2 Combine like terms: -3p + 3p = 0 -8 + 3p + 21p2 + 10p3 = 0 + -11p2 + 11p2 -8 + 3p + 21p2 + 10p3 = -11p2 + 11p2 Combine like terms: -11p2 + 11p2 = 0 -8 + 3p + 21p2 + 10p3 = 0 The solution to this equation could not be determined.
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