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Simplifying -15by + 30b = 80by + -40b Reorder the terms: 30b + -15by = 80by + -40b Reorder the terms: 30b + -15by = -40b + 80by Solving 30b + -15by = -40b + 80by Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '40b' to each side of the equation. 30b + 40b + -15by = -40b + 40b + 80by Combine like terms: 30b + 40b = 70b 70b + -15by = -40b + 40b + 80by Combine like terms: -40b + 40b = 0 70b + -15by = 0 + 80by 70b + -15by = 80by Add '-80by' to each side of the equation. 70b + -15by + -80by = 80by + -80by Combine like terms: -15by + -80by = -95by 70b + -95by = 80by + -80by Combine like terms: 80by + -80by = 0 70b + -95by = 0 Factor out the Greatest Common Factor (GCF), '5b'. 5b(14 + -19y) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(14 + -19y)' equal to zero and attempt to solve: Simplifying 14 + -19y = 0 Solving 14 + -19y = 0 Move all terms containing b to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -19y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -19y = 0 + -14 -19y = 0 + -14 Combine like terms: 0 + -14 = -14 -19y = -14 Add '19y' to each side of the equation. -19y + 19y = -14 + 19y Combine like terms: -19y + 19y = 0 0 = -14 + 19y Simplifying 0 = -14 + 19y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
b = {0}
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