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Simplifying 56q2 + 17qb + -3b2 = 0 Reorder the terms: 17bq + -3b2 + 56q2 = 0 Solving 17bq + -3b2 + 56q2 = 0 Solving for variable 'b'. Factor a trinomial. (-3b + -7q)(b + -8q) = 0Subproblem 1
Set the factor '(-3b + -7q)' equal to zero and attempt to solve: Simplifying -3b + -7q = 0 Solving -3b + -7q = 0 Move all terms containing b to the left, all other terms to the right. Add '7q' to each side of the equation. -3b + -7q + 7q = 0 + 7q Combine like terms: -7q + 7q = 0 -3b + 0 = 0 + 7q -3b = 0 + 7q Remove the zero: -3b = 7q Divide each side by '-3'. b = -2.333333333q Simplifying b = -2.333333333qSubproblem 2
Set the factor '(b + -8q)' equal to zero and attempt to solve: Simplifying b + -8q = 0 Solving b + -8q = 0 Move all terms containing b to the left, all other terms to the right. Add '8q' to each side of the equation. b + -8q + 8q = 0 + 8q Combine like terms: -8q + 8q = 0 b + 0 = 0 + 8q b = 0 + 8q Remove the zero: b = 8q Simplifying b = 8qSolution
b = {-2.333333333q, 8q}
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