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Simplifying 2(b + -5) + 4s(b + -5) = 0 Reorder the terms: 2(-5 + b) + 4s(b + -5) = 0 (-5 * 2 + b * 2) + 4s(b + -5) = 0 (-10 + 2b) + 4s(b + -5) = 0 Reorder the terms: -10 + 2b + 4s(-5 + b) = 0 -10 + 2b + (-5 * 4s + b * 4s) = 0 Reorder the terms: -10 + 2b + (4bs + -20s) = 0 -10 + 2b + (4bs + -20s) = 0 Solving -10 + 2b + 4bs + -20s = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 2b + 4bs + 10 + -20s = 0 + 10 Reorder the terms: -10 + 10 + 2b + 4bs + -20s = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2b + 4bs + -20s = 0 + 10 2b + 4bs + -20s = 0 + 10 Combine like terms: 0 + 10 = 10 2b + 4bs + -20s = 10 Add '20s' to each side of the equation. 2b + 4bs + -20s + 20s = 10 + 20s Combine like terms: -20s + 20s = 0 2b + 4bs + 0 = 10 + 20s 2b + 4bs = 10 + 20s Reorder the terms: -10 + 2b + 4bs + -20s = 10 + 20s + -10 + -20s Reorder the terms: -10 + 2b + 4bs + -20s = 10 + -10 + 20s + -20s Combine like terms: 10 + -10 = 0 -10 + 2b + 4bs + -20s = 0 + 20s + -20s -10 + 2b + 4bs + -20s = 20s + -20s Combine like terms: 20s + -20s = 0 -10 + 2b + 4bs + -20s = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + b + 2bs + -10s) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + b + 2bs + -10s)' equal to zero and attempt to solve: Simplifying -5 + b + 2bs + -10s = 0 Solving -5 + b + 2bs + -10s = 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 + 2bs + 5 + -10s = 0 + 5 Reorder the terms: -5 + 5 + b + 2bs + -10s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + b + 2bs + -10s = 0 + 5 b + 2bs + -10s = 0 + 5 Combine like terms: 0 + 5 = 5 b + 2bs + -10s = 5 Add '10s' to each side of the equation. b + 2bs + -10s + 10s = 5 + 10s Combine like terms: -10s + 10s = 0 b + 2bs + 0 = 5 + 10s b + 2bs = 5 + 10s 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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