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Simplifying 8x + -48 + 24z + -4xz = 0 Reorder the terms: -48 + 8x + -4xz + 24z = 0 Solving -48 + 8x + -4xz + 24z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 8x + -4xz + 48 + 24z = 0 + 48 Reorder the terms: -48 + 48 + 8x + -4xz + 24z = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 8x + -4xz + 24z = 0 + 48 8x + -4xz + 24z = 0 + 48 Combine like terms: 0 + 48 = 48 8x + -4xz + 24z = 48 Add '-24z' to each side of the equation. 8x + -4xz + 24z + -24z = 48 + -24z Combine like terms: 24z + -24z = 0 8x + -4xz + 0 = 48 + -24z 8x + -4xz = 48 + -24z Reorder the terms: -48 + 8x + -4xz + 24z = 48 + -24z + -48 + 24z Reorder the terms: -48 + 8x + -4xz + 24z = 48 + -48 + -24z + 24z Combine like terms: 48 + -48 = 0 -48 + 8x + -4xz + 24z = 0 + -24z + 24z -48 + 8x + -4xz + 24z = -24z + 24z Combine like terms: -24z + 24z = 0 -48 + 8x + -4xz + 24z = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-12 + 2x + -1xz + 6z) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-12 + 2x + -1xz + 6z)' equal to zero and attempt to solve: Simplifying -12 + 2x + -1xz + 6z = 0 Solving -12 + 2x + -1xz + 6z = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 2x + -1xz + 12 + 6z = 0 + 12 Reorder the terms: -12 + 12 + 2x + -1xz + 6z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2x + -1xz + 6z = 0 + 12 2x + -1xz + 6z = 0 + 12 Combine like terms: 0 + 12 = 12 2x + -1xz + 6z = 12 Add '-6z' to each side of the equation. 2x + -1xz + 6z + -6z = 12 + -6z Combine like terms: 6z + -6z = 0 2x + -1xz + 0 = 12 + -6z 2x + -1xz = 12 + -6z 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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