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Simplifying x2 + -1x + -12 = (x + 3)(x + -4) Reorder the terms: -12 + -1x + x2 = (x + 3)(x + -4) Reorder the terms: -12 + -1x + x2 = (3 + x)(x + -4) Reorder the terms: -12 + -1x + x2 = (3 + x)(-4 + x) Multiply (3 + x) * (-4 + x) -12 + -1x + x2 = (3(-4 + x) + x(-4 + x)) -12 + -1x + x2 = ((-4 * 3 + x * 3) + x(-4 + x)) -12 + -1x + x2 = ((-12 + 3x) + x(-4 + x)) -12 + -1x + x2 = (-12 + 3x + (-4 * x + x * x)) -12 + -1x + x2 = (-12 + 3x + (-4x + x2)) Combine like terms: 3x + -4x = -1x -12 + -1x + x2 = (-12 + -1x + x2) Add '12' to each side of the equation. -12 + -1x + 12 + x2 = -12 + -1x + 12 + x2 Reorder the terms: -12 + 12 + -1x + x2 = -12 + -1x + 12 + x2 Combine like terms: -12 + 12 = 0 0 + -1x + x2 = -12 + -1x + 12 + x2 -1x + x2 = -12 + -1x + 12 + x2 Reorder the terms: -1x + x2 = -12 + 12 + -1x + x2 Combine like terms: -12 + 12 = 0 -1x + x2 = 0 + -1x + x2 -1x + x2 = -1x + x2 Add 'x' to each side of the equation. -1x + x + x2 = -1x + x + x2 Combine like terms: -1x + x = 0 0 + x2 = -1x + x + x2 x2 = -1x + x + x2 Combine like terms: -1x + x = 0 x2 = 0 + x2 x2 = x2 Add '-1x2' to each side of the equation. x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = x2 + -1x2 Combine like terms: x2 + -1x2 = 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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