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Simplifying 8b + -4d + -12 + 4bd = 0 Reorder the terms: -12 + 8b + 4bd + -4d = 0 Solving -12 + 8b + 4bd + -4d = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 8b + 4bd + 12 + -4d = 0 + 12 Reorder the terms: -12 + 12 + 8b + 4bd + -4d = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 8b + 4bd + -4d = 0 + 12 8b + 4bd + -4d = 0 + 12 Combine like terms: 0 + 12 = 12 8b + 4bd + -4d = 12 Add '4d' to each side of the equation. 8b + 4bd + -4d + 4d = 12 + 4d Combine like terms: -4d + 4d = 0 8b + 4bd + 0 = 12 + 4d 8b + 4bd = 12 + 4d Reorder the terms: -12 + 8b + 4bd + -4d = 12 + 4d + -12 + -4d Reorder the terms: -12 + 8b + 4bd + -4d = 12 + -12 + 4d + -4d Combine like terms: 12 + -12 = 0 -12 + 8b + 4bd + -4d = 0 + 4d + -4d -12 + 8b + 4bd + -4d = 4d + -4d Combine like terms: 4d + -4d = 0 -12 + 8b + 4bd + -4d = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-3 + 2b + bd + -1d) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + 2b + bd + -1d)' equal to zero and attempt to solve: Simplifying -3 + 2b + bd + -1d = 0 Solving -3 + 2b + bd + -1d = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2b + bd + 3 + -1d = 0 + 3 Reorder the terms: -3 + 3 + 2b + bd + -1d = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2b + bd + -1d = 0 + 3 2b + bd + -1d = 0 + 3 Combine like terms: 0 + 3 = 3 2b + bd + -1d = 3 Add 'd' to each side of the equation. 2b + bd + -1d + d = 3 + d Combine like terms: -1d + d = 0 2b + bd + 0 = 3 + d 2b + bd = 3 + d 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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