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Simplifying s2d2 + 9sd + 14 = 0 Reorder the terms: 14 + 9ds + d2s2 = 0 Solving 14 + 9ds + d2s2 = 0 Solving for variable 'd'. Factor a trinomial. (7 + ds)(2 + ds) = 0Subproblem 1
Set the factor '(7 + ds)' equal to zero and attempt to solve: Simplifying 7 + ds = 0 Solving 7 + ds = 0 Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + ds = 0 + -7 Combine like terms: 7 + -7 = 0 0 + ds = 0 + -7 ds = 0 + -7 Combine like terms: 0 + -7 = -7 ds = -7 Divide each side by 's'. d = -7s-1 Simplifying d = -7s-1Subproblem 2
Set the factor '(2 + ds)' equal to zero and attempt to solve: Simplifying 2 + ds = 0 Solving 2 + ds = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + ds = 0 + -2 Combine like terms: 2 + -2 = 0 0 + ds = 0 + -2 ds = 0 + -2 Combine like terms: 0 + -2 = -2 ds = -2 Divide each side by 's'. d = -2s-1 Simplifying d = -2s-1Solution
d = {-7s-1, -2s-1}
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