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Simplifying 30q2 + 19qb + -63b2 = 0 Reorder the terms: 19bq + -63b2 + 30q2 = 0 Solving 19bq + -63b2 + 30q2 = 0 Solving for variable 'b'. Factor a trinomial. (-9b + -5q)(7b + -6q) = 0Subproblem 1
Set the factor '(-9b + -5q)' equal to zero and attempt to solve: Simplifying -9b + -5q = 0 Solving -9b + -5q = 0 Move all terms containing b to the left, all other terms to the right. Add '5q' to each side of the equation. -9b + -5q + 5q = 0 + 5q Combine like terms: -5q + 5q = 0 -9b + 0 = 0 + 5q -9b = 0 + 5q Remove the zero: -9b = 5q Divide each side by '-9'. b = -0.5555555556q Simplifying b = -0.5555555556qSubproblem 2
Set the factor '(7b + -6q)' equal to zero and attempt to solve: Simplifying 7b + -6q = 0 Solving 7b + -6q = 0 Move all terms containing b to the left, all other terms to the right. Add '6q' to each side of the equation. 7b + -6q + 6q = 0 + 6q Combine like terms: -6q + 6q = 0 7b + 0 = 0 + 6q 7b = 0 + 6q Remove the zero: 7b = 6q Divide each side by '7'. b = 0.8571428571q Simplifying b = 0.8571428571qSolution
b = {-0.5555555556q, 0.8571428571q}
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