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Simplifying (x + 3)(x + -3) = (2x2 + -15) + -1(x + 1)(x + -2) Reorder the terms: (3 + x)(x + -3) = (2x2 + -15) + -1(x + 1)(x + -2) Reorder the terms: (3 + x)(-3 + x) = (2x2 + -15) + -1(x + 1)(x + -2) Multiply (3 + x) * (-3 + x) (3(-3 + x) + x(-3 + x)) = (2x2 + -15) + -1(x + 1)(x + -2) ((-3 * 3 + x * 3) + x(-3 + x)) = (2x2 + -15) + -1(x + 1)(x + -2) ((-9 + 3x) + x(-3 + x)) = (2x2 + -15) + -1(x + 1)(x + -2) (-9 + 3x + (-3 * x + x * x)) = (2x2 + -15) + -1(x + 1)(x + -2) (-9 + 3x + (-3x + x2)) = (2x2 + -15) + -1(x + 1)(x + -2) Combine like terms: 3x + -3x = 0 (-9 + 0 + x2) = (2x2 + -15) + -1(x + 1)(x + -2) (-9 + x2) = (2x2 + -15) + -1(x + 1)(x + -2) Reorder the terms: -9 + x2 = (-15 + 2x2) + -1(x + 1)(x + -2) Remove parenthesis around (-15 + 2x2) -9 + x2 = -15 + 2x2 + -1(x + 1)(x + -2) Reorder the terms: -9 + x2 = -15 + 2x2 + -1(1 + x)(x + -2) Reorder the terms: -9 + x2 = -15 + 2x2 + -1(1 + x)(-2 + x) Multiply (1 + x) * (-2 + x) -9 + x2 = -15 + 2x2 + -1(1(-2 + x) + x(-2 + x)) -9 + x2 = -15 + 2x2 + -1((-2 * 1 + x * 1) + x(-2 + x)) -9 + x2 = -15 + 2x2 + -1((-2 + 1x) + x(-2 + x)) -9 + x2 = -15 + 2x2 + -1(-2 + 1x + (-2 * x + x * x)) -9 + x2 = -15 + 2x2 + -1(-2 + 1x + (-2x + x2)) Combine like terms: 1x + -2x = -1x -9 + x2 = -15 + 2x2 + -1(-2 + -1x + x2) -9 + x2 = -15 + 2x2 + (-2 * -1 + -1x * -1 + x2 * -1) -9 + x2 = -15 + 2x2 + (2 + 1x + -1x2) Reorder the terms: -9 + x2 = -15 + 2 + 1x + 2x2 + -1x2 Combine like terms: -15 + 2 = -13 -9 + x2 = -13 + 1x + 2x2 + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 -9 + x2 = -13 + 1x + 1x2 Solving -9 + x2 = -13 + 1x + 1x2 Solving for variable 'x'. Reorder the terms: -9 + 13 + -1x + x2 + -1x2 = -13 + 1x + 1x2 + 13 + -1x + -1x2 Combine like terms: -9 + 13 = 4 4 + -1x + x2 + -1x2 = -13 + 1x + 1x2 + 13 + -1x + -1x2 Combine like terms: x2 + -1x2 = 0 4 + -1x + 0 = -13 + 1x + 1x2 + 13 + -1x + -1x2 4 + -1x = -13 + 1x + 1x2 + 13 + -1x + -1x2 Reorder the terms: 4 + -1x = -13 + 13 + 1x + -1x + 1x2 + -1x2 Combine like terms: -13 + 13 = 0 4 + -1x = 0 + 1x + -1x + 1x2 + -1x2 4 + -1x = 1x + -1x + 1x2 + -1x2 Combine like terms: 1x + -1x = 0 4 + -1x = 0 + 1x2 + -1x2 4 + -1x = 1x2 + -1x2 Combine like terms: 1x2 + -1x2 = 0 4 + -1x = 0 The solution to this equation could not be determined.
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