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Simplifying 30ac + 80bd + 40ad + 60bc = 0 Reorder the terms: 30ac + 40ad + 60bc + 80bd = 0 Solving 30ac + 40ad + 60bc + 80bd = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-60bc' to each side of the equation. 30ac + 40ad + 60bc + -60bc + 80bd = 0 + -60bc Combine like terms: 60bc + -60bc = 0 30ac + 40ad + 0 + 80bd = 0 + -60bc 30ac + 40ad + 80bd = 0 + -60bc Remove the zero: 30ac + 40ad + 80bd = -60bc Add '-80bd' to each side of the equation. 30ac + 40ad + 80bd + -80bd = -60bc + -80bd Combine like terms: 80bd + -80bd = 0 30ac + 40ad + 0 = -60bc + -80bd 30ac + 40ad = -60bc + -80bd Reorder the terms: 30ac + 40ad + 60bc + 80bd = -60bc + 60bc + -80bd + 80bd Combine like terms: -60bc + 60bc = 0 30ac + 40ad + 60bc + 80bd = 0 + -80bd + 80bd 30ac + 40ad + 60bc + 80bd = -80bd + 80bd Combine like terms: -80bd + 80bd = 0 30ac + 40ad + 60bc + 80bd = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(3ac + 4ad + 6bc + 8bd) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(3ac + 4ad + 6bc + 8bd)' equal to zero and attempt to solve: Simplifying 3ac + 4ad + 6bc + 8bd = 0 Solving 3ac + 4ad + 6bc + 8bd = 0 Move all terms containing a to the left, all other terms to the right. Add '-6bc' to each side of the equation. 3ac + 4ad + 6bc + -6bc + 8bd = 0 + -6bc Combine like terms: 6bc + -6bc = 0 3ac + 4ad + 0 + 8bd = 0 + -6bc 3ac + 4ad + 8bd = 0 + -6bc Remove the zero: 3ac + 4ad + 8bd = -6bc Add '-8bd' to each side of the equation. 3ac + 4ad + 8bd + -8bd = -6bc + -8bd Combine like terms: 8bd + -8bd = 0 3ac + 4ad + 0 = -6bc + -8bd 3ac + 4ad = -6bc + -8bd 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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