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Simplifying 0 = 6abc + -18bcd + 24acd Reorder the terms: 0 = 6abc + 24acd + -18bcd Solving 0 = 6abc + 24acd + -18bcd Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6abc' to each side of the equation. 0 + -6abc = 6abc + 24acd + -6abc + -18bcd Remove the zero: -6abc = 6abc + 24acd + -6abc + -18bcd Reorder the terms: -6abc = 6abc + -6abc + 24acd + -18bcd Combine like terms: 6abc + -6abc = 0 -6abc = 0 + 24acd + -18bcd -6abc = 24acd + -18bcd Add '-24acd' to each side of the equation. -6abc + -24acd = 24acd + -24acd + -18bcd Combine like terms: 24acd + -24acd = 0 -6abc + -24acd = 0 + -18bcd -6abc + -24acd = -18bcd Combine like terms: -18bcd + 18bcd = 0 -6abc + -24acd + 18bcd = 0 Factor out the Greatest Common Factor (GCF), '6c'. 6c(-1ab + -4ad + 3bd) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing a to the left, all other terms to the right. Add '-1c' to each side of the equation. c + -1c = 0 + -1c Remove the zero: 0 = -1c Simplifying 0 = -1c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1ab + -4ad + 3bd)' equal to zero and attempt to solve: Simplifying -1ab + -4ad + 3bd = 0 Solving -1ab + -4ad + 3bd = 0 Move all terms containing a to the left, all other terms to the right. Add '-3bd' to each side of the equation. -1ab + -4ad + 3bd + -3bd = 0 + -3bd Combine like terms: 3bd + -3bd = 0 -1ab + -4ad + 0 = 0 + -3bd -1ab + -4ad = 0 + -3bd Remove the zero: -1ab + -4ad = -3bd 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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