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Simplifying 20w2 + 11wb + -3b2 = 0 Reorder the terms: 11bw + -3b2 + 20w2 = 0 Solving 11bw + -3b2 + 20w2 = 0 Solving for variable 'b'. Factor a trinomial. (-3b + -4w)(b + -5w) = 0Subproblem 1
Set the factor '(-3b + -4w)' equal to zero and attempt to solve: Simplifying -3b + -4w = 0 Solving -3b + -4w = 0 Move all terms containing b to the left, all other terms to the right. Add '4w' to each side of the equation. -3b + -4w + 4w = 0 + 4w Combine like terms: -4w + 4w = 0 -3b + 0 = 0 + 4w -3b = 0 + 4w Remove the zero: -3b = 4w Divide each side by '-3'. b = -1.333333333w Simplifying b = -1.333333333wSubproblem 2
Set the factor '(b + -5w)' equal to zero and attempt to solve: Simplifying b + -5w = 0 Solving b + -5w = 0 Move all terms containing b to the left, all other terms to the right. Add '5w' to each side of the equation. b + -5w + 5w = 0 + 5w Combine like terms: -5w + 5w = 0 b + 0 = 0 + 5w b = 0 + 5w Remove the zero: b = 5w Simplifying b = 5wSolution
b = {-1.333333333w, 5w}
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