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Simplifying -6 + -1x + 4x2 + -1x3 = (x + 1)(-1x2 + 5x + -6) Reorder the terms: -6 + -1x + 4x2 + -1x3 = (1 + x)(-1x2 + 5x + -6) Reorder the terms: -6 + -1x + 4x2 + -1x3 = (1 + x)(-6 + 5x + -1x2) Multiply (1 + x) * (-6 + 5x + -1x2) -6 + -1x + 4x2 + -1x3 = (1(-6 + 5x + -1x2) + x(-6 + 5x + -1x2)) -6 + -1x + 4x2 + -1x3 = ((-6 * 1 + 5x * 1 + -1x2 * 1) + x(-6 + 5x + -1x2)) -6 + -1x + 4x2 + -1x3 = ((-6 + 5x + -1x2) + x(-6 + 5x + -1x2)) -6 + -1x + 4x2 + -1x3 = (-6 + 5x + -1x2 + (-6 * x + 5x * x + -1x2 * x)) -6 + -1x + 4x2 + -1x3 = (-6 + 5x + -1x2 + (-6x + 5x2 + -1x3)) Reorder the terms: -6 + -1x + 4x2 + -1x3 = (-6 + 5x + -6x + -1x2 + 5x2 + -1x3) Combine like terms: 5x + -6x = -1x -6 + -1x + 4x2 + -1x3 = (-6 + -1x + -1x2 + 5x2 + -1x3) Combine like terms: -1x2 + 5x2 = 4x2 -6 + -1x + 4x2 + -1x3 = (-6 + -1x + 4x2 + -1x3) Add '6' to each side of the equation. -6 + -1x + 4x2 + 6 + -1x3 = -6 + -1x + 4x2 + 6 + -1x3 Reorder the terms: -6 + 6 + -1x + 4x2 + -1x3 = -6 + -1x + 4x2 + 6 + -1x3 Combine like terms: -6 + 6 = 0 0 + -1x + 4x2 + -1x3 = -6 + -1x + 4x2 + 6 + -1x3 -1x + 4x2 + -1x3 = -6 + -1x + 4x2 + 6 + -1x3 Reorder the terms: -1x + 4x2 + -1x3 = -6 + 6 + -1x + 4x2 + -1x3 Combine like terms: -6 + 6 = 0 -1x + 4x2 + -1x3 = 0 + -1x + 4x2 + -1x3 -1x + 4x2 + -1x3 = -1x + 4x2 + -1x3 Add 'x' to each side of the equation. -1x + 4x2 + x + -1x3 = -1x + 4x2 + x + -1x3 Reorder the terms: -1x + x + 4x2 + -1x3 = -1x + 4x2 + x + -1x3 Combine like terms: -1x + x = 0 0 + 4x2 + -1x3 = -1x + 4x2 + x + -1x3 4x2 + -1x3 = -1x + 4x2 + x + -1x3 Reorder the terms: 4x2 + -1x3 = -1x + x + 4x2 + -1x3 Combine like terms: -1x + x = 0 4x2 + -1x3 = 0 + 4x2 + -1x3 4x2 + -1x3 = 4x2 + -1x3 Add '-4x2' to each side of the equation. 4x2 + -4x2 + -1x3 = 4x2 + -4x2 + -1x3 Combine like terms: 4x2 + -4x2 = 0 0 + -1x3 = 4x2 + -4x2 + -1x3 -1x3 = 4x2 + -4x2 + -1x3 Combine like terms: 4x2 + -4x2 = 0 -1x3 = 0 + -1x3 -1x3 = -1x3 Add 'x3' to each side of the equation. -1x3 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 0 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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