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Simplifying t2 + 13d + 42d2 = 0 Reorder the terms: 13d + 42d2 + t2 = 0 Solving 13d + 42d2 + t2 = 0 Solving for variable 'd'. Factor a trinomial. (7d + t)(6d + t) = 0Subproblem 1
Set the factor '(7d + t)' equal to zero and attempt to solve: Simplifying 7d + t = 0 Solving 7d + t = 0 Move all terms containing d to the left, all other terms to the right. Add '-1t' to each side of the equation. 7d + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 7d + 0 = 0 + -1t 7d = 0 + -1t Remove the zero: 7d = -1t Divide each side by '7'. d = -0.1428571429t Simplifying d = -0.1428571429tSubproblem 2
Set the factor '(6d + t)' equal to zero and attempt to solve: Simplifying 6d + t = 0 Solving 6d + t = 0 Move all terms containing d to the left, all other terms to the right. Add '-1t' to each side of the equation. 6d + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 6d + 0 = 0 + -1t 6d = 0 + -1t Remove the zero: 6d = -1t Divide each side by '6'. d = -0.1666666667t Simplifying d = -0.1666666667tSolution
d = {-0.1428571429t, -0.1666666667t}
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