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Simplifying 22d2 + 15d + 2 = 0 Reorder the terms: 2 + 15d + 22d2 = 0 Solving 2 + 15d + 22d2 = 0 Solving for variable 'd'. Factor a trinomial. (1 + 2d)(2 + 11d) = 0Subproblem 1
Set the factor '(1 + 2d)' equal to zero and attempt to solve: Simplifying 1 + 2d = 0 Solving 1 + 2d = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2d = 0 + -1 2d = 0 + -1 Combine like terms: 0 + -1 = -1 2d = -1 Divide each side by '2'. d = -0.5 Simplifying d = -0.5Subproblem 2
Set the factor '(2 + 11d)' equal to zero and attempt to solve: Simplifying 2 + 11d = 0 Solving 2 + 11d = 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 + 11d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 11d = 0 + -2 11d = 0 + -2 Combine like terms: 0 + -2 = -2 11d = -2 Divide each side by '11'. d = -0.1818181818 Simplifying d = -0.1818181818Solution
d = {-0.5, -0.1818181818}
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