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Simplifying w2b2 + -1wb2 + -20b2 = 0 Reorder the terms: -20b2 + -1b2w + b2w2 = 0 Solving -20b2 + -1b2w + b2w2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'b2'. b2(-20 + -1w + w2) = 0 Factor a trinomial. b2((-4 + -1w)(5 + -1w)) = 0Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve: Simplifying b2 = 0 Solving b2 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b2 = 0 Take the square root of each side: b = {0}Subproblem 2
Set the factor '(-4 + -1w)' equal to zero and attempt to solve: Simplifying -4 + -1w = 0 Solving -4 + -1w = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1w = 0 + 4 -1w = 0 + 4 Combine like terms: 0 + 4 = 4 -1w = 4 Add 'w' to each side of the equation. -1w + w = 4 + w Combine like terms: -1w + w = 0 0 = 4 + w Simplifying 0 = 4 + w The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(5 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Add 'w' to each side of the equation. -1w + w = -5 + w Combine like terms: -1w + w = 0 0 = -5 + w Simplifying 0 = -5 + w 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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