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Simplifying (x + 2)(x + -2)(2x + 1) = (x + 3)(x + -3)(x + 1) Reorder the terms: (2 + x)(x + -2)(2x + 1) = (x + 3)(x + -3)(x + 1) Reorder the terms: (2 + x)(-2 + x)(2x + 1) = (x + 3)(x + -3)(x + 1) Reorder the terms: (2 + x)(-2 + x)(1 + 2x) = (x + 3)(x + -3)(x + 1) Multiply (2 + x) * (-2 + x) (2(-2 + x) + x(-2 + x))(1 + 2x) = (x + 3)(x + -3)(x + 1) ((-2 * 2 + x * 2) + x(-2 + x))(1 + 2x) = (x + 3)(x + -3)(x + 1) ((-4 + 2x) + x(-2 + x))(1 + 2x) = (x + 3)(x + -3)(x + 1) (-4 + 2x + (-2 * x + x * x))(1 + 2x) = (x + 3)(x + -3)(x + 1) (-4 + 2x + (-2x + x2))(1 + 2x) = (x + 3)(x + -3)(x + 1) Combine like terms: 2x + -2x = 0 (-4 + 0 + x2)(1 + 2x) = (x + 3)(x + -3)(x + 1) (-4 + x2)(1 + 2x) = (x + 3)(x + -3)(x + 1) Multiply (-4 + x2) * (1 + 2x) (-4(1 + 2x) + x2(1 + 2x)) = (x + 3)(x + -3)(x + 1) ((1 * -4 + 2x * -4) + x2(1 + 2x)) = (x + 3)(x + -3)(x + 1) ((-4 + -8x) + x2(1 + 2x)) = (x + 3)(x + -3)(x + 1) (-4 + -8x + (1 * x2 + 2x * x2)) = (x + 3)(x + -3)(x + 1) (-4 + -8x + (1x2 + 2x3)) = (x + 3)(x + -3)(x + 1) (-4 + -8x + 1x2 + 2x3) = (x + 3)(x + -3)(x + 1) Reorder the terms: -4 + -8x + 1x2 + 2x3 = (3 + x)(x + -3)(x + 1) Reorder the terms: -4 + -8x + 1x2 + 2x3 = (3 + x)(-3 + x)(x + 1) Reorder the terms: -4 + -8x + 1x2 + 2x3 = (3 + x)(-3 + x)(1 + x) Multiply (3 + x) * (-3 + x) -4 + -8x + 1x2 + 2x3 = (3(-3 + x) + x(-3 + x))(1 + x) -4 + -8x + 1x2 + 2x3 = ((-3 * 3 + x * 3) + x(-3 + x))(1 + x) -4 + -8x + 1x2 + 2x3 = ((-9 + 3x) + x(-3 + x))(1 + x) -4 + -8x + 1x2 + 2x3 = (-9 + 3x + (-3 * x + x * x))(1 + x) -4 + -8x + 1x2 + 2x3 = (-9 + 3x + (-3x + x2))(1 + x) Combine like terms: 3x + -3x = 0 -4 + -8x + 1x2 + 2x3 = (-9 + 0 + x2)(1 + x) -4 + -8x + 1x2 + 2x3 = (-9 + x2)(1 + x) Multiply (-9 + x2) * (1 + x) -4 + -8x + 1x2 + 2x3 = (-9(1 + x) + x2(1 + x)) -4 + -8x + 1x2 + 2x3 = ((1 * -9 + x * -9) + x2(1 + x)) -4 + -8x + 1x2 + 2x3 = ((-9 + -9x) + x2(1 + x)) -4 + -8x + 1x2 + 2x3 = (-9 + -9x + (1 * x2 + x * x2)) -4 + -8x + 1x2 + 2x3 = (-9 + -9x + (1x2 + x3)) -4 + -8x + 1x2 + 2x3 = (-9 + -9x + 1x2 + x3) Add '-1x2' to each side of the equation. -4 + -8x + 1x2 + -1x2 + 2x3 = -9 + -9x + 1x2 + -1x2 + x3 Combine like terms: 1x2 + -1x2 = 0 -4 + -8x + 0 + 2x3 = -9 + -9x + 1x2 + -1x2 + x3 -4 + -8x + 2x3 = -9 + -9x + 1x2 + -1x2 + x3 Combine like terms: 1x2 + -1x2 = 0 -4 + -8x + 2x3 = -9 + -9x + 0 + x3 -4 + -8x + 2x3 = -9 + -9x + x3 Solving -4 + -8x + 2x3 = -9 + -9x + x3 Solving for variable 'x'. Reorder the terms: -4 + 9 + -8x + 9x + 2x3 + -1x3 = -9 + -9x + x3 + 9 + 9x + -1x3 Combine like terms: -4 + 9 = 5 5 + -8x + 9x + 2x3 + -1x3 = -9 + -9x + x3 + 9 + 9x + -1x3 Combine like terms: -8x + 9x = 1x 5 + 1x + 2x3 + -1x3 = -9 + -9x + x3 + 9 + 9x + -1x3 Combine like terms: 2x3 + -1x3 = 1x3 5 + 1x + 1x3 = -9 + -9x + x3 + 9 + 9x + -1x3 Reorder the terms: 5 + 1x + 1x3 = -9 + 9 + -9x + 9x + x3 + -1x3 Combine like terms: -9 + 9 = 0 5 + 1x + 1x3 = 0 + -9x + 9x + x3 + -1x3 5 + 1x + 1x3 = -9x + 9x + x3 + -1x3 Combine like terms: -9x + 9x = 0 5 + 1x + 1x3 = 0 + x3 + -1x3 5 + 1x + 1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 5 + 1x + 1x3 = 0 The solution to this equation could not be determined.
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