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Simplifying (x + -3)(-1x2 + 3x + 10) = (5 + -1x)(x2 + -1x + -6) Reorder the terms: (-3 + x)(-1x2 + 3x + 10) = (5 + -1x)(x2 + -1x + -6) Reorder the terms: (-3 + x)(10 + 3x + -1x2) = (5 + -1x)(x2 + -1x + -6) Multiply (-3 + x) * (10 + 3x + -1x2) (-3(10 + 3x + -1x2) + x(10 + 3x + -1x2)) = (5 + -1x)(x2 + -1x + -6) ((10 * -3 + 3x * -3 + -1x2 * -3) + x(10 + 3x + -1x2)) = (5 + -1x)(x2 + -1x + -6) ((-30 + -9x + 3x2) + x(10 + 3x + -1x2)) = (5 + -1x)(x2 + -1x + -6) (-30 + -9x + 3x2 + (10 * x + 3x * x + -1x2 * x)) = (5 + -1x)(x2 + -1x + -6) (-30 + -9x + 3x2 + (10x + 3x2 + -1x3)) = (5 + -1x)(x2 + -1x + -6) Reorder the terms: (-30 + -9x + 10x + 3x2 + 3x2 + -1x3) = (5 + -1x)(x2 + -1x + -6) Combine like terms: -9x + 10x = 1x (-30 + 1x + 3x2 + 3x2 + -1x3) = (5 + -1x)(x2 + -1x + -6) Combine like terms: 3x2 + 3x2 = 6x2 (-30 + 1x + 6x2 + -1x3) = (5 + -1x)(x2 + -1x + -6) Reorder the terms: -30 + 1x + 6x2 + -1x3 = (5 + -1x)(-6 + -1x + x2) Multiply (5 + -1x) * (-6 + -1x + x2) -30 + 1x + 6x2 + -1x3 = (5(-6 + -1x + x2) + -1x * (-6 + -1x + x2)) -30 + 1x + 6x2 + -1x3 = ((-6 * 5 + -1x * 5 + x2 * 5) + -1x * (-6 + -1x + x2)) -30 + 1x + 6x2 + -1x3 = ((-30 + -5x + 5x2) + -1x * (-6 + -1x + x2)) -30 + 1x + 6x2 + -1x3 = (-30 + -5x + 5x2 + (-6 * -1x + -1x * -1x + x2 * -1x)) -30 + 1x + 6x2 + -1x3 = (-30 + -5x + 5x2 + (6x + 1x2 + -1x3)) Reorder the terms: -30 + 1x + 6x2 + -1x3 = (-30 + -5x + 6x + 5x2 + 1x2 + -1x3) Combine like terms: -5x + 6x = 1x -30 + 1x + 6x2 + -1x3 = (-30 + 1x + 5x2 + 1x2 + -1x3) Combine like terms: 5x2 + 1x2 = 6x2 -30 + 1x + 6x2 + -1x3 = (-30 + 1x + 6x2 + -1x3) Add '30' to each side of the equation. -30 + 1x + 6x2 + 30 + -1x3 = -30 + 1x + 6x2 + 30 + -1x3 Reorder the terms: -30 + 30 + 1x + 6x2 + -1x3 = -30 + 1x + 6x2 + 30 + -1x3 Combine like terms: -30 + 30 = 0 0 + 1x + 6x2 + -1x3 = -30 + 1x + 6x2 + 30 + -1x3 1x + 6x2 + -1x3 = -30 + 1x + 6x2 + 30 + -1x3 Reorder the terms: 1x + 6x2 + -1x3 = -30 + 30 + 1x + 6x2 + -1x3 Combine like terms: -30 + 30 = 0 1x + 6x2 + -1x3 = 0 + 1x + 6x2 + -1x3 1x + 6x2 + -1x3 = 1x + 6x2 + -1x3 Add '-1x' to each side of the equation. 1x + 6x2 + -1x + -1x3 = 1x + 6x2 + -1x + -1x3 Reorder the terms: 1x + -1x + 6x2 + -1x3 = 1x + 6x2 + -1x + -1x3 Combine like terms: 1x + -1x = 0 0 + 6x2 + -1x3 = 1x + 6x2 + -1x + -1x3 6x2 + -1x3 = 1x + 6x2 + -1x + -1x3 Reorder the terms: 6x2 + -1x3 = 1x + -1x + 6x2 + -1x3 Combine like terms: 1x + -1x = 0 6x2 + -1x3 = 0 + 6x2 + -1x3 6x2 + -1x3 = 6x2 + -1x3 Add '-6x2' to each side of the equation. 6x2 + -6x2 + -1x3 = 6x2 + -6x2 + -1x3 Combine like terms: 6x2 + -6x2 = 0 0 + -1x3 = 6x2 + -6x2 + -1x3 -1x3 = 6x2 + -6x2 + -1x3 Combine like terms: 6x2 + -6x2 = 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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