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Simplifying 6q2 + 13qd + -63d2 = 0 Reorder the terms: 13dq + -63d2 + 6q2 = 0 Solving 13dq + -63d2 + 6q2 = 0 Solving for variable 'd'. Factor a trinomial. (-9d + -2q)(7d + -3q) = 0Subproblem 1
Set the factor '(-9d + -2q)' equal to zero and attempt to solve: Simplifying -9d + -2q = 0 Solving -9d + -2q = 0 Move all terms containing d to the left, all other terms to the right. Add '2q' to each side of the equation. -9d + -2q + 2q = 0 + 2q Combine like terms: -2q + 2q = 0 -9d + 0 = 0 + 2q -9d = 0 + 2q Remove the zero: -9d = 2q Divide each side by '-9'. d = -0.2222222222q Simplifying d = -0.2222222222qSubproblem 2
Set the factor '(7d + -3q)' equal to zero and attempt to solve: Simplifying 7d + -3q = 0 Solving 7d + -3q = 0 Move all terms containing d to the left, all other terms to the right. Add '3q' to each side of the equation. 7d + -3q + 3q = 0 + 3q Combine like terms: -3q + 3q = 0 7d + 0 = 0 + 3q 7d = 0 + 3q Remove the zero: 7d = 3q Divide each side by '7'. d = 0.4285714286q Simplifying d = 0.4285714286qSolution
d = {-0.2222222222q, 0.4285714286q}
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