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Simplifying 14q2 + -33qb + 18b2 = 0 Reorder the terms: -33bq + 18b2 + 14q2 = 0 Solving -33bq + 18b2 + 14q2 = 0 Solving for variable 'b'. Factor a trinomial. (6b + -7q)(3b + -2q) = 0Subproblem 1
Set the factor '(6b + -7q)' equal to zero and attempt to solve: Simplifying 6b + -7q = 0 Solving 6b + -7q = 0 Move all terms containing b to the left, all other terms to the right. Add '7q' to each side of the equation. 6b + -7q + 7q = 0 + 7q Combine like terms: -7q + 7q = 0 6b + 0 = 0 + 7q 6b = 0 + 7q Remove the zero: 6b = 7q Divide each side by '6'. b = 1.166666667q Simplifying b = 1.166666667qSubproblem 2
Set the factor '(3b + -2q)' equal to zero and attempt to solve: Simplifying 3b + -2q = 0 Solving 3b + -2q = 0 Move all terms containing b to the left, all other terms to the right. Add '2q' to each side of the equation. 3b + -2q + 2q = 0 + 2q Combine like terms: -2q + 2q = 0 3b + 0 = 0 + 2q 3b = 0 + 2q Remove the zero: 3b = 2q Divide each side by '3'. b = 0.6666666667q Simplifying b = 0.6666666667qSolution
b = {1.166666667q, 0.6666666667q}
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