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Simplifying 6b2 + -11bw + -35w2 = 0 Reorder the terms: -11bw + 6b2 + -35w2 = 0 Solving -11bw + 6b2 + -35w2 = 0 Solving for variable 'b'. Factor a trinomial. (2b + -7w)(3b + 5w) = 0Subproblem 1
Set the factor '(2b + -7w)' equal to zero and attempt to solve: Simplifying 2b + -7w = 0 Solving 2b + -7w = 0 Move all terms containing b to the left, all other terms to the right. Add '7w' to each side of the equation. 2b + -7w + 7w = 0 + 7w Combine like terms: -7w + 7w = 0 2b + 0 = 0 + 7w 2b = 0 + 7w Remove the zero: 2b = 7w Divide each side by '2'. b = 3.5w Simplifying b = 3.5wSubproblem 2
Set the factor '(3b + 5w)' equal to zero and attempt to solve: Simplifying 3b + 5w = 0 Solving 3b + 5w = 0 Move all terms containing b to the left, all other terms to the right. Add '-5w' to each side of the equation. 3b + 5w + -5w = 0 + -5w Combine like terms: 5w + -5w = 0 3b + 0 = 0 + -5w 3b = 0 + -5w Remove the zero: 3b = -5w Divide each side by '3'. b = -1.666666667w Simplifying b = -1.666666667wSolution
b = {3.5w, -1.666666667w}
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