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Simplifying 40q2 + -26qb + -30b2 = 0 Reorder the terms: -26bq + -30b2 + 40q2 = 0 Solving -26bq + -30b2 + 40q2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(-13bq + -15b2 + 20q2) = 0 Factor a trinomial. 2((-3b + -5q)(5b + -4q)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3b + -5q)' equal to zero and attempt to solve: Simplifying -3b + -5q = 0 Solving -3b + -5q = 0 Move all terms containing b to the left, all other terms to the right. Add '5q' to each side of the equation. -3b + -5q + 5q = 0 + 5q Combine like terms: -5q + 5q = 0 -3b + 0 = 0 + 5q -3b = 0 + 5q Remove the zero: -3b = 5q Divide each side by '-3'. b = -1.666666667q Simplifying b = -1.666666667qSubproblem 2
Set the factor '(5b + -4q)' equal to zero and attempt to solve: Simplifying 5b + -4q = 0 Solving 5b + -4q = 0 Move all terms containing b to the left, all other terms to the right. Add '4q' to each side of the equation. 5b + -4q + 4q = 0 + 4q Combine like terms: -4q + 4q = 0 5b + 0 = 0 + 4q 5b = 0 + 4q Remove the zero: 5b = 4q Divide each side by '5'. b = 0.8q Simplifying b = 0.8qSolution
b = {-1.666666667q, 0.8q}
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