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Simplifying p(x + -1)(x + 3) = x + -4p + -2 Reorder the terms: p(-1 + x)(x + 3) = x + -4p + -2 Reorder the terms: p(-1 + x)(3 + x) = x + -4p + -2 Multiply (-1 + x) * (3 + x) p(-1(3 + x) + x(3 + x)) = x + -4p + -2 p((3 * -1 + x * -1) + x(3 + x)) = x + -4p + -2 p((-3 + -1x) + x(3 + x)) = x + -4p + -2 p(-3 + -1x + (3 * x + x * x)) = x + -4p + -2 p(-3 + -1x + (3x + x2)) = x + -4p + -2 Combine like terms: -1x + 3x = 2x p(-3 + 2x + x2) = x + -4p + -2 (-3 * p + 2x * p + x2 * p) = x + -4p + -2 (-3p + 2px + px2) = x + -4p + -2 Reorder the terms: -3p + 2px + px2 = -2 + -4p + x Solving -3p + 2px + px2 = -2 + -4p + x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -3p + 2px + 4p + px2 = -2 + -4p + 4p + x Reorder the terms: -3p + 4p + 2px + px2 = -2 + -4p + 4p + x Combine like terms: -3p + 4p = 1p 1p + 2px + px2 = -2 + -4p + 4p + x Combine like terms: -4p + 4p = 0 1p + 2px + px2 = -2 + 0 + x 1p + 2px + px2 = -2 + x Reorder the terms: 2 + 1p + 2px + px2 + -1x = -2 + x + 2 + -1x Reorder the terms: 2 + 1p + 2px + px2 + -1x = -2 + 2 + x + -1x Combine like terms: -2 + 2 = 0 2 + 1p + 2px + px2 + -1x = 0 + x + -1x 2 + 1p + 2px + px2 + -1x = x + -1x Combine like terms: x + -1x = 0 2 + 1p + 2px + px2 + -1x = 0 The solution to this equation could not be determined.
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