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Simplifying (X + 9)(x + -3)(x + 4) = (x + 7)(x + 4)(x + -2) Reorder the terms: (9 + X)(x + -3)(x + 4) = (x + 7)(x + 4)(x + -2) Reorder the terms: (9 + X)(-3 + x)(x + 4) = (x + 7)(x + 4)(x + -2) Reorder the terms: (9 + X)(-3 + x)(4 + x) = (x + 7)(x + 4)(x + -2) Multiply (9 + X) * (-3 + x) (9(-3 + x) + X(-3 + x))(4 + x) = (x + 7)(x + 4)(x + -2) ((-3 * 9 + x * 9) + X(-3 + x))(4 + x) = (x + 7)(x + 4)(x + -2) ((-27 + 9x) + X(-3 + x))(4 + x) = (x + 7)(x + 4)(x + -2) (-27 + 9x + (-3 * X + x * X))(4 + x) = (x + 7)(x + 4)(x + -2) (-27 + 9x + (-3X + xX))(4 + x) = (x + 7)(x + 4)(x + -2) Reorder the terms: (-27 + -3X + 9x + xX)(4 + x) = (x + 7)(x + 4)(x + -2) (-27 + -3X + 9x + xX)(4 + x) = (x + 7)(x + 4)(x + -2) Multiply (-27 + -3X + 9x + xX) * (4 + x) (-27(4 + x) + -3X * (4 + x) + 9x * (4 + x) + xX(4 + x)) = (x + 7)(x + 4)(x + -2) ((4 * -27 + x * -27) + -3X * (4 + x) + 9x * (4 + x) + xX(4 + x)) = (x + 7)(x + 4)(x + -2) ((-108 + -27x) + -3X * (4 + x) + 9x * (4 + x) + xX(4 + x)) = (x + 7)(x + 4)(x + -2) (-108 + -27x + (4 * -3X + x * -3X) + 9x * (4 + x) + xX(4 + x)) = (x + 7)(x + 4)(x + -2) (-108 + -27x + (-12X + -3xX) + 9x * (4 + x) + xX(4 + x)) = (x + 7)(x + 4)(x + -2) (-108 + -27x + -12X + -3xX + (4 * 9x + x * 9x) + xX(4 + x)) = (x + 7)(x + 4)(x + -2) (-108 + -27x + -12X + -3xX + (36x + 9x2) + xX(4 + x)) = (x + 7)(x + 4)(x + -2) (-108 + -27x + -12X + -3xX + 36x + 9x2 + (4 * xX + x * xX)) = (x + 7)(x + 4)(x + -2) (-108 + -27x + -12X + -3xX + 36x + 9x2 + (4xX + x2X)) = (x + 7)(x + 4)(x + -2) Reorder the terms: (-108 + -12X + -27x + 36x + -3xX + 4xX + 9x2 + x2X) = (x + 7)(x + 4)(x + -2) Combine like terms: -27x + 36x = 9x (-108 + -12X + 9x + -3xX + 4xX + 9x2 + x2X) = (x + 7)(x + 4)(x + -2) Combine like terms: -3xX + 4xX = 1xX (-108 + -12X + 9x + 1xX + 9x2 + x2X) = (x + 7)(x + 4)(x + -2) Reorder the terms: -108 + -12X + 9x + 1xX + 9x2 + x2X = (7 + x)(x + 4)(x + -2) Reorder the terms: -108 + -12X + 9x + 1xX + 9x2 + x2X = (7 + x)(4 + x)(x + -2) Reorder the terms: -108 + -12X + 9x + 1xX + 9x2 + x2X = (7 + x)(4 + x)(-2 + x) Multiply (7 + x) * (4 + x) -108 + -12X + 9x + 1xX + 9x2 + x2X = (7(4 + x) + x(4 + x))(-2 + x) -108 + -12X + 9x + 1xX + 9x2 + x2X = ((4 * 7 + x * 7) + x(4 + x))(-2 + x) -108 + -12X + 9x + 1xX + 9x2 + x2X = ((28 + 7x) + x(4 + x))(-2 + x) -108 + -12X + 9x + 1xX + 9x2 + x2X = (28 + 7x + (4 * x + x * x))(-2 + x) -108 + -12X + 9x + 1xX + 9x2 + x2X = (28 + 7x + (4x + x2))(-2 + x) Combine like terms: 7x + 4x = 11x -108 + -12X + 9x + 1xX + 9x2 + x2X = (28 + 11x + x2)(-2 + x) Multiply (28 + 11x + x2) * (-2 + x) -108 + -12X + 9x + 1xX + 9x2 + x2X = (28(-2 + x) + 11x * (-2 + x) + x2(-2 + x)) -108 + -12X + 9x + 1xX + 9x2 + x2X = ((-2 * 28 + x * 28) + 11x * (-2 + x) + x2(-2 + x)) -108 + -12X + 9x + 1xX + 9x2 + x2X = ((-56 + 28x) + 11x * (-2 + x) + x2(-2 + x)) -108 + -12X + 9x + 1xX + 9x2 + x2X = (-56 + 28x + (-2 * 11x + x * 11x) + x2(-2 + x)) -108 + -12X + 9x + 1xX + 9x2 + x2X = (-56 + 28x + (-22x + 11x2) + x2(-2 + x)) -108 + -12X + 9x + 1xX + 9x2 + x2X = (-56 + 28x + -22x + 11x2 + (-2 * x2 + x * x2)) -108 + -12X + 9x + 1xX + 9x2 + x2X = (-56 + 28x + -22x + 11x2 + (-2x2 + x3)) Combine like terms: 28x + -22x = 6x -108 + -12X + 9x + 1xX + 9x2 + x2X = (-56 + 6x + 11x2 + -2x2 + x3) Combine like terms: 11x2 + -2x2 = 9x2 -108 + -12X + 9x + 1xX + 9x2 + x2X = (-56 + 6x + 9x2 + x3) Add '-9x2' to each side of the equation. -108 + -12X + 9x + 1xX + 9x2 + -9x2 + x2X = -56 + 6x + 9x2 + -9x2 + x3 Combine like terms: 9x2 + -9x2 = 0 -108 + -12X + 9x + 1xX + 0 + x2X = -56 + 6x + 9x2 + -9x2 + x3 -108 + -12X + 9x + 1xX + x2X = -56 + 6x + 9x2 + -9x2 + x3 Combine like terms: 9x2 + -9x2 = 0 -108 + -12X + 9x + 1xX + x2X = -56 + 6x + 0 + x3 -108 + -12X + 9x + 1xX + x2X = -56 + 6x + x3 Solving -108 + -12X + 9x + 1xX + x2X = -56 + 6x + x3 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '108' to each side of the equation. -108 + -12X + 9x + 1xX + 108 + x2X = -56 + 6x + 108 + x3 Reorder the terms: -108 + 108 + -12X + 9x + 1xX + x2X = -56 + 6x + 108 + x3 Combine like terms: -108 + 108 = 0 0 + -12X + 9x + 1xX + x2X = -56 + 6x + 108 + x3 -12X + 9x + 1xX + x2X = -56 + 6x + 108 + x3 Reorder the terms: -12X + 9x + 1xX + x2X = -56 + 108 + 6x + x3 Combine like terms: -56 + 108 = 52 -12X + 9x + 1xX + x2X = 52 + 6x + x3 Add '-9x' to each side of the equation. -12X + 9x + 1xX + -9x + x2X = 52 + 6x + -9x + x3 Reorder the terms: -12X + 9x + -9x + 1xX + x2X = 52 + 6x + -9x + x3 Combine like terms: 9x + -9x = 0 -12X + 0 + 1xX + x2X = 52 + 6x + -9x + x3 -12X + 1xX + x2X = 52 + 6x + -9x + x3 Combine like terms: 6x + -9x = -3x -12X + 1xX + x2X = 52 + -3x + x3 Reorder the terms: -52 + -12X + 3x + 1xX + x2X + -1x3 = 52 + -3x + x3 + -52 + 3x + -1x3 Reorder the terms: -52 + -12X + 3x + 1xX + x2X + -1x3 = 52 + -52 + -3x + 3x + x3 + -1x3 Combine like terms: 52 + -52 = 0 -52 + -12X + 3x + 1xX + x2X + -1x3 = 0 + -3x + 3x + x3 + -1x3 -52 + -12X + 3x + 1xX + x2X + -1x3 = -3x + 3x + x3 + -1x3 Combine like terms: -3x + 3x = 0 -52 + -12X + 3x + 1xX + x2X + -1x3 = 0 + x3 + -1x3 -52 + -12X + 3x + 1xX + x2X + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -52 + -12X + 3x + 1xX + x2X + -1x3 = 0 The solution to this equation could not be determined.
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