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Simplifying x2b + -1x2 + -4x + 12 + -2bx = (x + -2)(bx + -1x + -6) Reorder the terms: 12 + -2bx + bx2 + -4x + -1x2 = (x + -2)(bx + -1x + -6) Reorder the terms: 12 + -2bx + bx2 + -4x + -1x2 = (-2 + x)(bx + -1x + -6) Reorder the terms: 12 + -2bx + bx2 + -4x + -1x2 = (-2 + x)(-6 + bx + -1x) Multiply (-2 + x) * (-6 + bx + -1x) 12 + -2bx + bx2 + -4x + -1x2 = (-2(-6 + bx + -1x) + x(-6 + bx + -1x)) 12 + -2bx + bx2 + -4x + -1x2 = ((-6 * -2 + bx * -2 + -1x * -2) + x(-6 + bx + -1x)) 12 + -2bx + bx2 + -4x + -1x2 = ((12 + -2bx + 2x) + x(-6 + bx + -1x)) 12 + -2bx + bx2 + -4x + -1x2 = (12 + -2bx + 2x + (-6 * x + bx * x + -1x * x)) Reorder the terms: 12 + -2bx + bx2 + -4x + -1x2 = (12 + -2bx + 2x + (bx2 + -6x + -1x2)) 12 + -2bx + bx2 + -4x + -1x2 = (12 + -2bx + 2x + (bx2 + -6x + -1x2)) Reorder the terms: 12 + -2bx + bx2 + -4x + -1x2 = (12 + -2bx + bx2 + 2x + -6x + -1x2) Combine like terms: 2x + -6x = -4x 12 + -2bx + bx2 + -4x + -1x2 = (12 + -2bx + bx2 + -4x + -1x2) Add '-12' to each side of the equation. 12 + -2bx + bx2 + -4x + -12 + -1x2 = 12 + -2bx + bx2 + -4x + -12 + -1x2 Reorder the terms: 12 + -12 + -2bx + bx2 + -4x + -1x2 = 12 + -2bx + bx2 + -4x + -12 + -1x2 Combine like terms: 12 + -12 = 0 0 + -2bx + bx2 + -4x + -1x2 = 12 + -2bx + bx2 + -4x + -12 + -1x2 -2bx + bx2 + -4x + -1x2 = 12 + -2bx + bx2 + -4x + -12 + -1x2 Reorder the terms: -2bx + bx2 + -4x + -1x2 = 12 + -12 + -2bx + bx2 + -4x + -1x2 Combine like terms: 12 + -12 = 0 -2bx + bx2 + -4x + -1x2 = 0 + -2bx + bx2 + -4x + -1x2 -2bx + bx2 + -4x + -1x2 = -2bx + bx2 + -4x + -1x2 Add '2bx' to each side of the equation. -2bx + bx2 + -4x + 2bx + -1x2 = -2bx + bx2 + -4x + 2bx + -1x2 Reorder the terms: -2bx + 2bx + bx2 + -4x + -1x2 = -2bx + bx2 + -4x + 2bx + -1x2 Combine like terms: -2bx + 2bx = 0 0 + bx2 + -4x + -1x2 = -2bx + bx2 + -4x + 2bx + -1x2 bx2 + -4x + -1x2 = -2bx + bx2 + -4x + 2bx + -1x2 Reorder the terms: bx2 + -4x + -1x2 = -2bx + 2bx + bx2 + -4x + -1x2 Combine like terms: -2bx + 2bx = 0 bx2 + -4x + -1x2 = 0 + bx2 + -4x + -1x2 bx2 + -4x + -1x2 = bx2 + -4x + -1x2 Add '-1bx2' to each side of the equation. bx2 + -4x + -1bx2 + -1x2 = bx2 + -4x + -1bx2 + -1x2 Reorder the terms: bx2 + -1bx2 + -4x + -1x2 = bx2 + -4x + -1bx2 + -1x2 Combine like terms: bx2 + -1bx2 = 0 0 + -4x + -1x2 = bx2 + -4x + -1bx2 + -1x2 -4x + -1x2 = bx2 + -4x + -1bx2 + -1x2 Reorder the terms: -4x + -1x2 = bx2 + -1bx2 + -4x + -1x2 Combine like terms: bx2 + -1bx2 = 0 -4x + -1x2 = 0 + -4x + -1x2 -4x + -1x2 = -4x + -1x2 Add '4x' to each side of the equation. -4x + 4x + -1x2 = -4x + 4x + -1x2 Combine like terms: -4x + 4x = 0 0 + -1x2 = -4x + 4x + -1x2 -1x2 = -4x + 4x + -1x2 Combine like terms: -4x + 4x = 0 -1x2 = 0 + -1x2 -1x2 = -1x2 Add 'x2' to each side of the equation. -1x2 + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 0 = -1x2 + x2 Combine like terms: -1x2 + x2 = 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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