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Simplifying 0 = (x + -3)(x2 + -1px + q) Reorder the terms: 0 = (-3 + x)(x2 + -1px + q) Reorder the terms: 0 = (-3 + x)(-1px + q + x2) Multiply (-3 + x) * (-1px + q + x2) 0 = (-3(-1px + q + x2) + x(-1px + q + x2)) 0 = ((-1px * -3 + q * -3 + x2 * -3) + x(-1px + q + x2)) 0 = ((3px + -3q + -3x2) + x(-1px + q + x2)) 0 = (3px + -3q + -3x2 + (-1px * x + q * x + x2 * x)) 0 = (3px + -3q + -3x2 + (-1px2 + qx + x3)) Reorder the terms: 0 = (3px + -1px2 + -3q + qx + -3x2 + x3) 0 = (3px + -1px2 + -3q + qx + -3x2 + x3) Solving 0 = 3px + -1px2 + -3q + qx + -3x2 + x3 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3px' to each side of the equation. 0 + -3px = 3px + -1px2 + -3q + qx + -3x2 + -3px + x3 Remove the zero: -3px = 3px + -1px2 + -3q + qx + -3x2 + -3px + x3 Reorder the terms: -3px = 3px + -3px + -1px2 + -3q + qx + -3x2 + x3 Combine like terms: 3px + -3px = 0 -3px = 0 + -1px2 + -3q + qx + -3x2 + x3 -3px = -1px2 + -3q + qx + -3x2 + x3 Add 'px2' to each side of the equation. -3px + px2 = -1px2 + -3q + qx + -3x2 + px2 + x3 Reorder the terms: -3px + px2 = -1px2 + px2 + -3q + qx + -3x2 + x3 Combine like terms: -1px2 + px2 = 0 -3px + px2 = 0 + -3q + qx + -3x2 + x3 -3px + px2 = -3q + qx + -3x2 + x3 Reorder the terms: -3px + px2 + 3q + -1qx + 3x2 + -1x3 = -3q + 3q + qx + -1qx + -3x2 + 3x2 + x3 + -1x3 Combine like terms: -3q + 3q = 0 -3px + px2 + 3q + -1qx + 3x2 + -1x3 = 0 + qx + -1qx + -3x2 + 3x2 + x3 + -1x3 -3px + px2 + 3q + -1qx + 3x2 + -1x3 = qx + -1qx + -3x2 + 3x2 + x3 + -1x3 Combine like terms: qx + -1qx = 0 -3px + px2 + 3q + -1qx + 3x2 + -1x3 = 0 + -3x2 + 3x2 + x3 + -1x3 -3px + px2 + 3q + -1qx + 3x2 + -1x3 = -3x2 + 3x2 + x3 + -1x3 Combine like terms: -3x2 + 3x2 = 0 -3px + px2 + 3q + -1qx + 3x2 + -1x3 = 0 + x3 + -1x3 -3px + px2 + 3q + -1qx + 3x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -3px + px2 + 3q + -1qx + 3x2 + -1x3 = 0 The solution to this equation could not be determined.
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