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Simplifying -1(3b + -15) = 6(2hb + 5) Reorder the terms: -1(-15 + 3b) = 6(2hb + 5) (-15 * -1 + 3b * -1) = 6(2hb + 5) (15 + -3b) = 6(2hb + 5) Reorder the terms: 15 + -3b = 6(5 + 2bh) 15 + -3b = (5 * 6 + 2bh * 6) 15 + -3b = (30 + 12bh) Solving 15 + -3b = 30 + 12bh Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12bh' to each side of the equation. 15 + -3b + -12bh = 30 + 12bh + -12bh Combine like terms: 12bh + -12bh = 0 15 + -3b + -12bh = 30 + 0 15 + -3b + -12bh = 30 Add '-15' to each side of the equation. 15 + -3b + -15 + -12bh = 30 + -15 Reorder the terms: 15 + -15 + -3b + -12bh = 30 + -15 Combine like terms: 15 + -15 = 0 0 + -3b + -12bh = 30 + -15 -3b + -12bh = 30 + -15 Combine like terms: 30 + -15 = 15 -3b + -12bh = 15 Reorder the terms: -15 + -3b + -12bh = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + -3b + -12bh = 0 Factor out the Greatest Common Factor (GCF), '-3'. -3(5 + b + 4bh) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(5 + b + 4bh)' equal to zero and attempt to solve: Simplifying 5 + b + 4bh = 0 Solving 5 + b + 4bh = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + b + -5 + 4bh = 0 + -5 Reorder the terms: 5 + -5 + b + 4bh = 0 + -5 Combine like terms: 5 + -5 = 0 0 + b + 4bh = 0 + -5 b + 4bh = 0 + -5 Combine like terms: 0 + -5 = -5 b + 4bh = -5 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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