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Simplifying (3x + 5)(4x + 3) = (5x + -3)(2z + -9) + 80x + 20 Reorder the terms: (5 + 3x)(4x + 3) = (5x + -3)(2z + -9) + 80x + 20 Reorder the terms: (5 + 3x)(3 + 4x) = (5x + -3)(2z + -9) + 80x + 20 Multiply (5 + 3x) * (3 + 4x) (5(3 + 4x) + 3x * (3 + 4x)) = (5x + -3)(2z + -9) + 80x + 20 ((3 * 5 + 4x * 5) + 3x * (3 + 4x)) = (5x + -3)(2z + -9) + 80x + 20 ((15 + 20x) + 3x * (3 + 4x)) = (5x + -3)(2z + -9) + 80x + 20 (15 + 20x + (3 * 3x + 4x * 3x)) = (5x + -3)(2z + -9) + 80x + 20 (15 + 20x + (9x + 12x2)) = (5x + -3)(2z + -9) + 80x + 20 Combine like terms: 20x + 9x = 29x (15 + 29x + 12x2) = (5x + -3)(2z + -9) + 80x + 20 Reorder the terms: 15 + 29x + 12x2 = (-3 + 5x)(2z + -9) + 80x + 20 Reorder the terms: 15 + 29x + 12x2 = (-3 + 5x)(-9 + 2z) + 80x + 20 Multiply (-3 + 5x) * (-9 + 2z) 15 + 29x + 12x2 = (-3(-9 + 2z) + 5x * (-9 + 2z)) + 80x + 20 15 + 29x + 12x2 = ((-9 * -3 + 2z * -3) + 5x * (-9 + 2z)) + 80x + 20 15 + 29x + 12x2 = ((27 + -6z) + 5x * (-9 + 2z)) + 80x + 20 15 + 29x + 12x2 = (27 + -6z + (-9 * 5x + 2z * 5x)) + 80x + 20 15 + 29x + 12x2 = (27 + -6z + (-45x + 10xz)) + 80x + 20 Reorder the terms: 15 + 29x + 12x2 = (27 + -45x + 10xz + -6z) + 80x + 20 15 + 29x + 12x2 = (27 + -45x + 10xz + -6z) + 80x + 20 Reorder the terms: 15 + 29x + 12x2 = 27 + 20 + -45x + 80x + 10xz + -6z Combine like terms: 27 + 20 = 47 15 + 29x + 12x2 = 47 + -45x + 80x + 10xz + -6z Combine like terms: -45x + 80x = 35x 15 + 29x + 12x2 = 47 + 35x + 10xz + -6z Solving 15 + 29x + 12x2 = 47 + 35x + 10xz + -6z Solving for variable 'x'. Reorder the terms: 15 + -47 + 29x + -35x + -10xz + 12x2 + 6z = 47 + 35x + 10xz + -6z + -47 + -35x + -10xz + 6z Combine like terms: 15 + -47 = -32 -32 + 29x + -35x + -10xz + 12x2 + 6z = 47 + 35x + 10xz + -6z + -47 + -35x + -10xz + 6z Combine like terms: 29x + -35x = -6x -32 + -6x + -10xz + 12x2 + 6z = 47 + 35x + 10xz + -6z + -47 + -35x + -10xz + 6z Reorder the terms: -32 + -6x + -10xz + 12x2 + 6z = 47 + -47 + 35x + -35x + 10xz + -10xz + -6z + 6z Combine like terms: 47 + -47 = 0 -32 + -6x + -10xz + 12x2 + 6z = 0 + 35x + -35x + 10xz + -10xz + -6z + 6z -32 + -6x + -10xz + 12x2 + 6z = 35x + -35x + 10xz + -10xz + -6z + 6z Combine like terms: 35x + -35x = 0 -32 + -6x + -10xz + 12x2 + 6z = 0 + 10xz + -10xz + -6z + 6z -32 + -6x + -10xz + 12x2 + 6z = 10xz + -10xz + -6z + 6z Combine like terms: 10xz + -10xz = 0 -32 + -6x + -10xz + 12x2 + 6z = 0 + -6z + 6z -32 + -6x + -10xz + 12x2 + 6z = -6z + 6z Combine like terms: -6z + 6z = 0 -32 + -6x + -10xz + 12x2 + 6z = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-16 + -3x + -5xz + 6x2 + 3z) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-16 + -3x + -5xz + 6x2 + 3z)' equal to zero and attempt to solve: Simplifying -16 + -3x + -5xz + 6x2 + 3z = 0 Solving -16 + -3x + -5xz + 6x2 + 3z = 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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