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Simplifying w2b2 + -1wb2 + -42b2 = 0 Reorder the terms: -42b2 + -1b2w + b2w2 = 0 Solving -42b2 + -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(-42 + -1w + w2) = 0 Factor a trinomial. b2((-6 + -1w)(7 + -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 '(-6 + -1w)' equal to zero and attempt to solve: Simplifying -6 + -1w = 0 Solving -6 + -1w = 0 Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1w = 0 + 6 -1w = 0 + 6 Combine like terms: 0 + 6 = 6 -1w = 6 Add 'w' to each side of the equation. -1w + w = 6 + w Combine like terms: -1w + w = 0 0 = 6 + w Simplifying 0 = 6 + 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 '(7 + -1w)' equal to zero and attempt to solve: Simplifying 7 + -1w = 0 Solving 7 + -1w = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = 0 + -7 -1w = 0 + -7 Combine like terms: 0 + -7 = -7 -1w = -7 Add 'w' to each side of the equation. -1w + w = -7 + w Combine like terms: -1w + w = 0 0 = -7 + w Simplifying 0 = -7 + 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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