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Simplifying 10q2 + -29qd + 10d2 = 0 Reorder the terms: -29dq + 10d2 + 10q2 = 0 Solving -29dq + 10d2 + 10q2 = 0 Solving for variable 'd'. Factor a trinomial. (2d + -5q)(5d + -2q) = 0Subproblem 1
Set the factor '(2d + -5q)' equal to zero and attempt to solve: Simplifying 2d + -5q = 0 Solving 2d + -5q = 0 Move all terms containing d to the left, all other terms to the right. Add '5q' to each side of the equation. 2d + -5q + 5q = 0 + 5q Combine like terms: -5q + 5q = 0 2d + 0 = 0 + 5q 2d = 0 + 5q Remove the zero: 2d = 5q Divide each side by '2'. d = 2.5q Simplifying d = 2.5qSubproblem 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 = {2.5q, 0.4q}
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