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Simplifying 24q2 + -26qd + -70d2 = 0 Reorder the terms: -26dq + -70d2 + 24q2 = 0 Solving -26dq + -70d2 + 24q2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '2'. 2(-13dq + -35d2 + 12q2) = 0 Factor a trinomial. 2((-5d + -4q)(7d + -3q)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5d + -4q)' equal to zero and attempt to solve: Simplifying -5d + -4q = 0 Solving -5d + -4q = 0 Move all terms containing d to the left, all other terms to the right. Add '4q' to each side of the equation. -5d + -4q + 4q = 0 + 4q Combine like terms: -4q + 4q = 0 -5d + 0 = 0 + 4q -5d = 0 + 4q Remove the zero: -5d = 4q Divide each side by '-5'. d = -0.8q Simplifying d = -0.8qSubproblem 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 = {-0.8q, 0.4285714286q}
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