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Simplifying 56b2 + 17bw + -3w2 = 0 Reorder the terms: 17bw + 56b2 + -3w2 = 0 Solving 17bw + 56b2 + -3w2 = 0 Solving for variable 'b'. Factor a trinomial. (8b + -1w)(7b + 3w) = 0Subproblem 1
Set the factor '(8b + -1w)' equal to zero and attempt to solve: Simplifying 8b + -1w = 0 Solving 8b + -1w = 0 Move all terms containing b to the left, all other terms to the right. Add 'w' to each side of the equation. 8b + -1w + w = 0 + w Combine like terms: -1w + w = 0 8b + 0 = 0 + w 8b = 0 + w Remove the zero: 8b = w Divide each side by '8'. b = 0.125w Simplifying b = 0.125wSubproblem 2
Set the factor '(7b + 3w)' equal to zero and attempt to solve: Simplifying 7b + 3w = 0 Solving 7b + 3w = 0 Move all terms containing b to the left, all other terms to the right. Add '-3w' to each side of the equation. 7b + 3w + -3w = 0 + -3w Combine like terms: 3w + -3w = 0 7b + 0 = 0 + -3w 7b = 0 + -3w Remove the zero: 7b = -3w Divide each side by '7'. b = -0.4285714286w Simplifying b = -0.4285714286wSolution
b = {0.125w, -0.4285714286w}
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