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Simplifying (3z + -12)(2x + 9) = 0 Reorder the terms: (-12 + 3z)(2x + 9) = 0 Reorder the terms: (-12 + 3z)(9 + 2x) = 0 Multiply (-12 + 3z) * (9 + 2x) (-12(9 + 2x) + 3z * (9 + 2x)) = 0 ((9 * -12 + 2x * -12) + 3z * (9 + 2x)) = 0 ((-108 + -24x) + 3z * (9 + 2x)) = 0 (-108 + -24x + (9 * 3z + 2x * 3z)) = 0 Reorder the terms: (-108 + -24x + (6xz + 27z)) = 0 (-108 + -24x + (6xz + 27z)) = 0 (-108 + -24x + 6xz + 27z) = 0 Solving -108 + -24x + 6xz + 27z = 0 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 + -24x + 6xz + 108 + 27z = 0 + 108 Reorder the terms: -108 + 108 + -24x + 6xz + 27z = 0 + 108 Combine like terms: -108 + 108 = 0 0 + -24x + 6xz + 27z = 0 + 108 -24x + 6xz + 27z = 0 + 108 Combine like terms: 0 + 108 = 108 -24x + 6xz + 27z = 108 Add '-27z' to each side of the equation. -24x + 6xz + 27z + -27z = 108 + -27z Combine like terms: 27z + -27z = 0 -24x + 6xz + 0 = 108 + -27z -24x + 6xz = 108 + -27z Reorder the terms: -108 + -24x + 6xz + 27z = 108 + -27z + -108 + 27z Reorder the terms: -108 + -24x + 6xz + 27z = 108 + -108 + -27z + 27z Combine like terms: 108 + -108 = 0 -108 + -24x + 6xz + 27z = 0 + -27z + 27z -108 + -24x + 6xz + 27z = -27z + 27z Combine like terms: -27z + 27z = 0 -108 + -24x + 6xz + 27z = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-36 + -8x + 2xz + 9z) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-36 + -8x + 2xz + 9z)' equal to zero and attempt to solve: Simplifying -36 + -8x + 2xz + 9z = 0 Solving -36 + -8x + 2xz + 9z = 0 Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + -8x + 2xz + 36 + 9z = 0 + 36 Reorder the terms: -36 + 36 + -8x + 2xz + 9z = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -8x + 2xz + 9z = 0 + 36 -8x + 2xz + 9z = 0 + 36 Combine like terms: 0 + 36 = 36 -8x + 2xz + 9z = 36 Add '-9z' to each side of the equation. -8x + 2xz + 9z + -9z = 36 + -9z Combine like terms: 9z + -9z = 0 -8x + 2xz + 0 = 36 + -9z -8x + 2xz = 36 + -9z 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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