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Simplifying 12d2 + -11dt + -15t2 = 0 Reorder the terms: -11dt + 12d2 + -15t2 = 0 Solving -11dt + 12d2 + -15t2 = 0 Solving for variable 'd'. Factor a trinomial. (3d + -5t)(4d + 3t) = 0Subproblem 1
Set the factor '(3d + -5t)' equal to zero and attempt to solve: Simplifying 3d + -5t = 0 Solving 3d + -5t = 0 Move all terms containing d to the left, all other terms to the right. Add '5t' to each side of the equation. 3d + -5t + 5t = 0 + 5t Combine like terms: -5t + 5t = 0 3d + 0 = 0 + 5t 3d = 0 + 5t Remove the zero: 3d = 5t Divide each side by '3'. d = 1.666666667t Simplifying d = 1.666666667tSubproblem 2
Set the factor '(4d + 3t)' equal to zero and attempt to solve: Simplifying 4d + 3t = 0 Solving 4d + 3t = 0 Move all terms containing d to the left, all other terms to the right. Add '-3t' to each side of the equation. 4d + 3t + -3t = 0 + -3t Combine like terms: 3t + -3t = 0 4d + 0 = 0 + -3t 4d = 0 + -3t Remove the zero: 4d = -3t Divide each side by '4'. d = -0.75t Simplifying d = -0.75tSolution
d = {1.666666667t, -0.75t}
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