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Simplifying (x + -2)(x + 4) = (x + 3)(x + 5)(x + 4) Reorder the terms: (-2 + x)(x + 4) = (x + 3)(x + 5)(x + 4) Reorder the terms: (-2 + x)(4 + x) = (x + 3)(x + 5)(x + 4) Multiply (-2 + x) * (4 + x) (-2(4 + x) + x(4 + x)) = (x + 3)(x + 5)(x + 4) ((4 * -2 + x * -2) + x(4 + x)) = (x + 3)(x + 5)(x + 4) ((-8 + -2x) + x(4 + x)) = (x + 3)(x + 5)(x + 4) (-8 + -2x + (4 * x + x * x)) = (x + 3)(x + 5)(x + 4) (-8 + -2x + (4x + x2)) = (x + 3)(x + 5)(x + 4) Combine like terms: -2x + 4x = 2x (-8 + 2x + x2) = (x + 3)(x + 5)(x + 4) Reorder the terms: -8 + 2x + x2 = (3 + x)(x + 5)(x + 4) Reorder the terms: -8 + 2x + x2 = (3 + x)(5 + x)(x + 4) Reorder the terms: -8 + 2x + x2 = (3 + x)(5 + x)(4 + x) Multiply (3 + x) * (5 + x) -8 + 2x + x2 = (3(5 + x) + x(5 + x))(4 + x) -8 + 2x + x2 = ((5 * 3 + x * 3) + x(5 + x))(4 + x) -8 + 2x + x2 = ((15 + 3x) + x(5 + x))(4 + x) -8 + 2x + x2 = (15 + 3x + (5 * x + x * x))(4 + x) -8 + 2x + x2 = (15 + 3x + (5x + x2))(4 + x) Combine like terms: 3x + 5x = 8x -8 + 2x + x2 = (15 + 8x + x2)(4 + x) Multiply (15 + 8x + x2) * (4 + x) -8 + 2x + x2 = (15(4 + x) + 8x * (4 + x) + x2(4 + x)) -8 + 2x + x2 = ((4 * 15 + x * 15) + 8x * (4 + x) + x2(4 + x)) -8 + 2x + x2 = ((60 + 15x) + 8x * (4 + x) + x2(4 + x)) -8 + 2x + x2 = (60 + 15x + (4 * 8x + x * 8x) + x2(4 + x)) -8 + 2x + x2 = (60 + 15x + (32x + 8x2) + x2(4 + x)) -8 + 2x + x2 = (60 + 15x + 32x + 8x2 + (4 * x2 + x * x2)) -8 + 2x + x2 = (60 + 15x + 32x + 8x2 + (4x2 + x3)) Combine like terms: 15x + 32x = 47x -8 + 2x + x2 = (60 + 47x + 8x2 + 4x2 + x3) Combine like terms: 8x2 + 4x2 = 12x2 -8 + 2x + x2 = (60 + 47x + 12x2 + x3) Solving -8 + 2x + x2 = 60 + 47x + 12x2 + x3 Solving for variable 'x'. Reorder the terms: -8 + -60 + 2x + -47x + x2 + -12x2 + -1x3 = 60 + 47x + 12x2 + x3 + -60 + -47x + -12x2 + -1x3 Combine like terms: -8 + -60 = -68 -68 + 2x + -47x + x2 + -12x2 + -1x3 = 60 + 47x + 12x2 + x3 + -60 + -47x + -12x2 + -1x3 Combine like terms: 2x + -47x = -45x -68 + -45x + x2 + -12x2 + -1x3 = 60 + 47x + 12x2 + x3 + -60 + -47x + -12x2 + -1x3 Combine like terms: x2 + -12x2 = -11x2 -68 + -45x + -11x2 + -1x3 = 60 + 47x + 12x2 + x3 + -60 + -47x + -12x2 + -1x3 Reorder the terms: -68 + -45x + -11x2 + -1x3 = 60 + -60 + 47x + -47x + 12x2 + -12x2 + x3 + -1x3 Combine like terms: 60 + -60 = 0 -68 + -45x + -11x2 + -1x3 = 0 + 47x + -47x + 12x2 + -12x2 + x3 + -1x3 -68 + -45x + -11x2 + -1x3 = 47x + -47x + 12x2 + -12x2 + x3 + -1x3 Combine like terms: 47x + -47x = 0 -68 + -45x + -11x2 + -1x3 = 0 + 12x2 + -12x2 + x3 + -1x3 -68 + -45x + -11x2 + -1x3 = 12x2 + -12x2 + x3 + -1x3 Combine like terms: 12x2 + -12x2 = 0 -68 + -45x + -11x2 + -1x3 = 0 + x3 + -1x3 -68 + -45x + -11x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -68 + -45x + -11x2 + -1x3 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(68 + 45x + 11x2 + x3) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(68 + 45x + 11x2 + x3)' equal to zero and attempt to solve: Simplifying 68 + 45x + 11x2 + x3 = 0 Solving 68 + 45x + 11x2 + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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