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Simplifying 2q2 + 9qd + -35d2 = 0 Reorder the terms: 9dq + -35d2 + 2q2 = 0 Solving 9dq + -35d2 + 2q2 = 0 Solving for variable 'd'. Factor a trinomial. (-7d + -1q)(5d + -2q) = 0Subproblem 1
Set the factor '(-7d + -1q)' equal to zero and attempt to solve: Simplifying -7d + -1q = 0 Solving -7d + -1q = 0 Move all terms containing d to the left, all other terms to the right. Add 'q' to each side of the equation. -7d + -1q + q = 0 + q Combine like terms: -1q + q = 0 -7d + 0 = 0 + q -7d = 0 + q Remove the zero: -7d = q Divide each side by '-7'. d = -0.1428571429q Simplifying d = -0.1428571429qSubproblem 2
Set the factor '(5d + -2q)' equal to zero and attempt to solve: Simplifying 5d + -2q = 0 Solving 5d + -2q = 0 Move all terms containing d to the left, all other terms to the right. Add '2q' to each side of the equation. 5d + -2q + 2q = 0 + 2q Combine like terms: -2q + 2q = 0 5d + 0 = 0 + 2q 5d = 0 + 2q Remove the zero: 5d = 2q Divide each side by '5'. d = 0.4q Simplifying d = 0.4qSolution
d = {-0.1428571429q, 0.4q}
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