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Simplifying 42q2 + 19qb + -35b2 = 0 Reorder the terms: 19bq + -35b2 + 42q2 = 0 Solving 19bq + -35b2 + 42q2 = 0 Solving for variable 'b'. Factor a trinomial. (-7b + -6q)(5b + -7q) = 0Subproblem 1
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 = -0.8571428571qSubproblem 2
Set the factor '(5b + -7q)' equal to zero and attempt to solve: Simplifying 5b + -7q = 0 Solving 5b + -7q = 0 Move all terms containing b to the left, all other terms to the right. Add '7q' to each side of the equation. 5b + -7q + 7q = 0 + 7q Combine like terms: -7q + 7q = 0 5b + 0 = 0 + 7q 5b = 0 + 7q Remove the zero: 5b = 7q Divide each side by '5'. b = 1.4q Simplifying b = 1.4qSolution
b = {-0.8571428571q, 1.4q}
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