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Simplifying 9(4b + -1) = s(9b + 3) Reorder the terms: 9(-1 + 4b) = s(9b + 3) (-1 * 9 + 4b * 9) = s(9b + 3) (-9 + 36b) = s(9b + 3) Reorder the terms: -9 + 36b = s(3 + 9b) -9 + 36b = (3 * s + 9b * s) Reorder the terms: -9 + 36b = (9bs + 3s) -9 + 36b = (9bs + 3s) Solving -9 + 36b = 9bs + 3s Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9bs' to each side of the equation. -9 + 36b + -9bs = 9bs + -9bs + 3s Combine like terms: 9bs + -9bs = 0 -9 + 36b + -9bs = 0 + 3s -9 + 36b + -9bs = 3s Add '9' to each side of the equation. -9 + 36b + 9 + -9bs = 9 + 3s Reorder the terms: -9 + 9 + 36b + -9bs = 9 + 3s Combine like terms: -9 + 9 = 0 0 + 36b + -9bs = 9 + 3s 36b + -9bs = 9 + 3s Reorder the terms: -9 + 36b + -9bs + -3s = 9 + 3s + -9 + -3s Reorder the terms: -9 + 36b + -9bs + -3s = 9 + -9 + 3s + -3s Combine like terms: 9 + -9 = 0 -9 + 36b + -9bs + -3s = 0 + 3s + -3s -9 + 36b + -9bs + -3s = 3s + -3s Combine like terms: 3s + -3s = 0 -9 + 36b + -9bs + -3s = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + 12b + -3bs + -1s) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + 12b + -3bs + -1s)' equal to zero and attempt to solve: Simplifying -3 + 12b + -3bs + -1s = 0 Solving -3 + 12b + -3bs + -1s = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 12b + -3bs + 3 + -1s = 0 + 3 Reorder the terms: -3 + 3 + 12b + -3bs + -1s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 12b + -3bs + -1s = 0 + 3 12b + -3bs + -1s = 0 + 3 Combine like terms: 0 + 3 = 3 12b + -3bs + -1s = 3 Add 's' to each side of the equation. 12b + -3bs + -1s + s = 3 + s Combine like terms: -1s + s = 0 12b + -3bs + 0 = 3 + s 12b + -3bs = 3 + s 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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