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Simplifying x3 + 4x2 + x + -6 = (x + 3)(x2 + x + -2) Reorder the terms: -6 + x + 4x2 + x3 = (x + 3)(x2 + x + -2) Reorder the terms: -6 + x + 4x2 + x3 = (3 + x)(x2 + x + -2) Reorder the terms: -6 + x + 4x2 + x3 = (3 + x)(-2 + x + x2) Multiply (3 + x) * (-2 + x + x2) -6 + x + 4x2 + x3 = (3(-2 + x + x2) + x(-2 + x + x2)) -6 + x + 4x2 + x3 = ((-2 * 3 + x * 3 + x2 * 3) + x(-2 + x + x2)) -6 + x + 4x2 + x3 = ((-6 + 3x + 3x2) + x(-2 + x + x2)) -6 + x + 4x2 + x3 = (-6 + 3x + 3x2 + (-2 * x + x * x + x2 * x)) -6 + x + 4x2 + x3 = (-6 + 3x + 3x2 + (-2x + x2 + x3)) Reorder the terms: -6 + x + 4x2 + x3 = (-6 + 3x + -2x + 3x2 + x2 + x3) Combine like terms: 3x + -2x = 1x -6 + x + 4x2 + x3 = (-6 + 1x + 3x2 + x2 + x3) Combine like terms: 3x2 + x2 = 4x2 -6 + x + 4x2 + x3 = (-6 + 1x + 4x2 + x3) Add '6' to each side of the equation. -6 + x + 4x2 + 6 + x3 = -6 + 1x + 4x2 + 6 + x3 Reorder the terms: -6 + 6 + x + 4x2 + x3 = -6 + 1x + 4x2 + 6 + x3 Combine like terms: -6 + 6 = 0 0 + x + 4x2 + x3 = -6 + 1x + 4x2 + 6 + x3 x + 4x2 + x3 = -6 + 1x + 4x2 + 6 + x3 Reorder the terms: x + 4x2 + x3 = -6 + 6 + 1x + 4x2 + x3 Combine like terms: -6 + 6 = 0 x + 4x2 + x3 = 0 + 1x + 4x2 + x3 x + 4x2 + x3 = 1x + 4x2 + x3 Add '-4x2' to each side of the equation. x + 4x2 + -4x2 + x3 = 1x + 4x2 + -4x2 + x3 Combine like terms: 4x2 + -4x2 = 0 x + 0 + x3 = 1x + 4x2 + -4x2 + x3 x + x3 = 1x + 4x2 + -4x2 + x3 Combine like terms: 4x2 + -4x2 = 0 x + x3 = 1x + 0 + x3 x + x3 = 1x + x3 Add '-1x3' to each side of the equation. x + x3 + -1x3 = 1x + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 x + 0 = 1x + x3 + -1x3 x = 1x + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 x = 1x + 0 x = 1x Solving x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 1x + -1x Combine like terms: x + -1x = 0 0 = 1x + -1x Combine like terms: 1x + -1x = 0 0 = 0 Simplifying 0 = 0 The solution to this equation could not be determined.
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