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Simplifying (8x + -6)(12z + 14) = 0 Reorder the terms: (-6 + 8x)(12z + 14) = 0 Reorder the terms: (-6 + 8x)(14 + 12z) = 0 Multiply (-6 + 8x) * (14 + 12z) (-6(14 + 12z) + 8x * (14 + 12z)) = 0 ((14 * -6 + 12z * -6) + 8x * (14 + 12z)) = 0 ((-84 + -72z) + 8x * (14 + 12z)) = 0 (-84 + -72z + (14 * 8x + 12z * 8x)) = 0 (-84 + -72z + (112x + 96xz)) = 0 Reorder the terms: (-84 + 112x + 96xz + -72z) = 0 (-84 + 112x + 96xz + -72z) = 0 Solving -84 + 112x + 96xz + -72z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 112x + 96xz + 84 + -72z = 0 + 84 Reorder the terms: -84 + 84 + 112x + 96xz + -72z = 0 + 84 Combine like terms: -84 + 84 = 0 0 + 112x + 96xz + -72z = 0 + 84 112x + 96xz + -72z = 0 + 84 Combine like terms: 0 + 84 = 84 112x + 96xz + -72z = 84 Add '72z' to each side of the equation. 112x + 96xz + -72z + 72z = 84 + 72z Combine like terms: -72z + 72z = 0 112x + 96xz + 0 = 84 + 72z 112x + 96xz = 84 + 72z Reorder the terms: -84 + 112x + 96xz + -72z = 84 + 72z + -84 + -72z Reorder the terms: -84 + 112x + 96xz + -72z = 84 + -84 + 72z + -72z Combine like terms: 84 + -84 = 0 -84 + 112x + 96xz + -72z = 0 + 72z + -72z -84 + 112x + 96xz + -72z = 72z + -72z Combine like terms: 72z + -72z = 0 -84 + 112x + 96xz + -72z = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-21 + 28x + 24xz + -18z) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-21 + 28x + 24xz + -18z)' equal to zero and attempt to solve: Simplifying -21 + 28x + 24xz + -18z = 0 Solving -21 + 28x + 24xz + -18z = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 28x + 24xz + 21 + -18z = 0 + 21 Reorder the terms: -21 + 21 + 28x + 24xz + -18z = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 28x + 24xz + -18z = 0 + 21 28x + 24xz + -18z = 0 + 21 Combine like terms: 0 + 21 = 21 28x + 24xz + -18z = 21 Add '18z' to each side of the equation. 28x + 24xz + -18z + 18z = 21 + 18z Combine like terms: -18z + 18z = 0 28x + 24xz + 0 = 21 + 18z 28x + 24xz = 21 + 18z 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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