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Simplifying 6d2 + 19d + 3 = -7 Reorder the terms: 3 + 19d + 6d2 = -7 Solving 3 + 19d + 6d2 = -7 Solving for variable 'd'. Reorder the terms: 3 + 7 + 19d + 6d2 = -7 + 7 Combine like terms: 3 + 7 = 10 10 + 19d + 6d2 = -7 + 7 Combine like terms: -7 + 7 = 0 10 + 19d + 6d2 = 0 Factor a trinomial. (5 + 2d)(2 + 3d) = 0Subproblem 1
Set the factor '(5 + 2d)' equal to zero and attempt to solve: Simplifying 5 + 2d = 0 Solving 5 + 2d = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2d = 0 + -5 2d = 0 + -5 Combine like terms: 0 + -5 = -5 2d = -5 Divide each side by '2'. d = -2.5 Simplifying d = -2.5Subproblem 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 = {-2.5, -0.6666666667}
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