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Simplifying 56q2 + -145bq + -69b2 = 0 Reorder the terms: -145bq + -69b2 + 56q2 = 0 Solving -145bq + -69b2 + 56q2 = 0 Solving for variable 'b'. Factor a trinomial. (-23b + -56q)(3b + -1q) = 0Subproblem 1
Set the factor '(-23b + -56q)' equal to zero and attempt to solve: Simplifying -23b + -56q = 0 Solving -23b + -56q = 0 Move all terms containing b to the left, all other terms to the right. Add '56q' to each side of the equation. -23b + -56q + 56q = 0 + 56q Combine like terms: -56q + 56q = 0 -23b + 0 = 0 + 56q -23b = 0 + 56q Remove the zero: -23b = 56q Divide each side by '-23'. b = -2.434782609q Simplifying b = -2.434782609qSubproblem 2
Set the factor '(3b + -1q)' equal to zero and attempt to solve: Simplifying 3b + -1q = 0 Solving 3b + -1q = 0 Move all terms containing b to the left, all other terms to the right. Add 'q' to each side of the equation. 3b + -1q + q = 0 + q Combine like terms: -1q + q = 0 3b + 0 = 0 + q 3b = 0 + q Remove the zero: 3b = q Divide each side by '3'. b = 0.3333333333q Simplifying b = 0.3333333333qSolution
b = {-2.434782609q, 0.3333333333q}
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