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Simplifying 42q2 + -17qw + -15w2 = 0 Reorder the terms: -17qw + 42q2 + -15w2 = 0 Solving -17qw + 42q2 + -15w2 = 0 Solving for variable 'q'. Factor a trinomial. (6q + -5w)(7q + 3w) = 0Subproblem 1
Set the factor '(6q + -5w)' equal to zero and attempt to solve: Simplifying 6q + -5w = 0 Solving 6q + -5w = 0 Move all terms containing q to the left, all other terms to the right. Add '5w' to each side of the equation. 6q + -5w + 5w = 0 + 5w Combine like terms: -5w + 5w = 0 6q + 0 = 0 + 5w 6q = 0 + 5w Remove the zero: 6q = 5w Divide each side by '6'. q = 0.8333333333w Simplifying q = 0.8333333333wSubproblem 2
Set the factor '(7q + 3w)' equal to zero and attempt to solve: Simplifying 7q + 3w = 0 Solving 7q + 3w = 0 Move all terms containing q to the left, all other terms to the right. Add '-3w' to each side of the equation. 7q + 3w + -3w = 0 + -3w Combine like terms: 3w + -3w = 0 7q + 0 = 0 + -3w 7q = 0 + -3w Remove the zero: 7q = -3w Divide each side by '7'. q = -0.4285714286w Simplifying q = -0.4285714286wSolution
q = {0.8333333333w, -0.4285714286w}
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