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Simplifying 56q2 + -19qw + -15w2 = 0 Reorder the terms: -19qw + 56q2 + -15w2 = 0 Solving -19qw + 56q2 + -15w2 = 0 Solving for variable 'q'. Factor a trinomial. (7q + -5w)(8q + 3w) = 0Subproblem 1
Set the factor '(7q + -5w)' equal to zero and attempt to solve: Simplifying 7q + -5w = 0 Solving 7q + -5w = 0 Move all terms containing q to the left, all other terms to the right. Add '5w' to each side of the equation. 7q + -5w + 5w = 0 + 5w Combine like terms: -5w + 5w = 0 7q + 0 = 0 + 5w 7q = 0 + 5w Remove the zero: 7q = 5w Divide each side by '7'. q = 0.7142857143w Simplifying q = 0.7142857143wSubproblem 2
Set the factor '(8q + 3w)' equal to zero and attempt to solve: Simplifying 8q + 3w = 0 Solving 8q + 3w = 0 Move all terms containing q to the left, all other terms to the right. Add '-3w' to each side of the equation. 8q + 3w + -3w = 0 + -3w Combine like terms: 3w + -3w = 0 8q + 0 = 0 + -3w 8q = 0 + -3w Remove the zero: 8q = -3w Divide each side by '8'. q = -0.375w Simplifying q = -0.375wSolution
q = {0.7142857143w, -0.375w}
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