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Simplifying x2 + 7 + 12 = (p + [1])(p + 2) Reorder the terms: 7 + 12 + x2 = (p + [1])(p + 2) Combine like terms: 7 + 12 = 19 19 + x2 = (p + [1])(p + 2) 19 + x2 = (p + 1)(p + 2) Reorder the terms: 19 + x2 = (1 + p)(p + 2) Reorder the terms: 19 + x2 = (1 + p)(2 + p) Multiply (1 + p) * (2 + p) 19 + x2 = (1(2 + p) + p(2 + p)) 19 + x2 = ((2 * 1 + p * 1) + p(2 + p)) 19 + x2 = ((2 + 1p) + p(2 + p)) 19 + x2 = (2 + 1p + (2 * p + p * p)) 19 + x2 = (2 + 1p + (2p + p2)) Combine like terms: 1p + 2p = 3p 19 + x2 = (2 + 3p + p2) Solving 19 + x2 = 2 + 3p + p2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + x2 = 2 + 3p + -19 + p2 Combine like terms: 19 + -19 = 0 0 + x2 = 2 + 3p + -19 + p2 x2 = 2 + 3p + -19 + p2 Reorder the terms: x2 = 2 + -19 + 3p + p2 Combine like terms: 2 + -19 = -17 x2 = -17 + 3p + p2 Simplifying x2 = -17 + 3p + p2 Reorder the terms: 17 + -3p + -1p2 + x2 = -17 + 3p + p2 + 17 + -3p + -1p2 Reorder the terms: 17 + -3p + -1p2 + x2 = -17 + 17 + 3p + -3p + p2 + -1p2 Combine like terms: -17 + 17 = 0 17 + -3p + -1p2 + x2 = 0 + 3p + -3p + p2 + -1p2 17 + -3p + -1p2 + x2 = 3p + -3p + p2 + -1p2 Combine like terms: 3p + -3p = 0 17 + -3p + -1p2 + x2 = 0 + p2 + -1p2 17 + -3p + -1p2 + x2 = p2 + -1p2 Combine like terms: p2 + -1p2 = 0 17 + -3p + -1p2 + x2 = 0 The solution to this equation could not be determined.
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