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Simplifying 3d2 + 23d + 14 = 0 Reorder the terms: 14 + 23d + 3d2 = 0 Solving 14 + 23d + 3d2 = 0 Solving for variable 'd'. Factor a trinomial. (7 + d)(2 + 3d) = 0Subproblem 1
Set the factor '(7 + d)' equal to zero and attempt to solve: Simplifying 7 + d = 0 Solving 7 + d = 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 + d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + d = 0 + -7 d = 0 + -7 Combine like terms: 0 + -7 = -7 d = -7 Simplifying d = -7Subproblem 2
Set the factor '(2 + 3d)' equal to zero and attempt to solve: Simplifying 2 + 3d = 0 Solving 2 + 3d = 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 + 3d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3d = 0 + -2 3d = 0 + -2 Combine like terms: 0 + -2 = -2 3d = -2 Divide each side by '3'. d = -0.6666666667 Simplifying d = -0.6666666667Solution
d = {-7, -0.6666666667}
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