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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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