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Simplifying 56b2 + -23bw + -63w2 = 0 Reorder the terms: -23bw + 56b2 + -63w2 = 0 Solving -23bw + 56b2 + -63w2 = 0 Solving for variable 'b'. Factor a trinomial. (7b + -9w)(8b + 7w) = 0Subproblem 1
Set the factor '(7b + -9w)' equal to zero and attempt to solve: Simplifying 7b + -9w = 0 Solving 7b + -9w = 0 Move all terms containing b to the left, all other terms to the right. Add '9w' to each side of the equation. 7b + -9w + 9w = 0 + 9w Combine like terms: -9w + 9w = 0 7b + 0 = 0 + 9w 7b = 0 + 9w Remove the zero: 7b = 9w Divide each side by '7'. b = 1.285714286w Simplifying b = 1.285714286wSubproblem 2
Set the factor '(8b + 7w)' equal to zero and attempt to solve: Simplifying 8b + 7w = 0 Solving 8b + 7w = 0 Move all terms containing b to the left, all other terms to the right. Add '-7w' to each side of the equation. 8b + 7w + -7w = 0 + -7w Combine like terms: 7w + -7w = 0 8b + 0 = 0 + -7w 8b = 0 + -7w Remove the zero: 8b = -7w Divide each side by '8'. b = -0.875w Simplifying b = -0.875wSolution
b = {1.285714286w, -0.875w}
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