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Simplifying p(14) = 1 + 3(x + 2)(x + 2) Reorder the terms for easier multiplication: 14p = 1 + 3(x + 2)(x + 2) Reorder the terms: 14p = 1 + 3(2 + x)(x + 2) Reorder the terms: 14p = 1 + 3(2 + x)(2 + x) Multiply (2 + x) * (2 + x) 14p = 1 + 3(2(2 + x) + x(2 + x)) 14p = 1 + 3((2 * 2 + x * 2) + x(2 + x)) 14p = 1 + 3((4 + 2x) + x(2 + x)) 14p = 1 + 3(4 + 2x + (2 * x + x * x)) 14p = 1 + 3(4 + 2x + (2x + x2)) Combine like terms: 2x + 2x = 4x 14p = 1 + 3(4 + 4x + x2) 14p = 1 + (4 * 3 + 4x * 3 + x2 * 3) 14p = 1 + (12 + 12x + 3x2) Combine like terms: 1 + 12 = 13 14p = 13 + 12x + 3x2 Solving 14p = 13 + 12x + 3x2 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Divide each side by '14'. p = 0.9285714286 + 0.8571428571x + 0.2142857143x2 Simplifying p = 0.9285714286 + 0.8571428571x + 0.2142857143x2
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