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Simplifying 6b2 + -13bw + -63w2 = 0 Reorder the terms: -13bw + 6b2 + -63w2 = 0 Solving -13bw + 6b2 + -63w2 = 0 Solving for variable 'b'. Factor a trinomial. (2b + -9w)(3b + 7w) = 0Subproblem 1
Set the factor '(2b + -9w)' equal to zero and attempt to solve: Simplifying 2b + -9w = 0 Solving 2b + -9w = 0 Move all terms containing b to the left, all other terms to the right. Add '9w' to each side of the equation. 2b + -9w + 9w = 0 + 9w Combine like terms: -9w + 9w = 0 2b + 0 = 0 + 9w 2b = 0 + 9w Remove the zero: 2b = 9w Divide each side by '2'. b = 4.5w Simplifying b = 4.5wSubproblem 2
Set the factor '(3b + 7w)' equal to zero and attempt to solve: Simplifying 3b + 7w = 0 Solving 3b + 7w = 0 Move all terms containing b to the left, all other terms to the right. Add '-7w' to each side of the equation. 3b + 7w + -7w = 0 + -7w Combine like terms: 7w + -7w = 0 3b + 0 = 0 + -7w 3b = 0 + -7w Remove the zero: 3b = -7w Divide each side by '3'. b = -2.333333333w Simplifying b = -2.333333333wSolution
b = {4.5w, -2.333333333w}
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