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Simplifying 77d = -14d2 + -98 Reorder the terms: 77d = -98 + -14d2 Solving 77d = -98 + -14d2 Solving for variable 'd'. Reorder the terms: 98 + 77d + 14d2 = -98 + -14d2 + 98 + 14d2 Reorder the terms: 98 + 77d + 14d2 = -98 + 98 + -14d2 + 14d2 Combine like terms: -98 + 98 = 0 98 + 77d + 14d2 = 0 + -14d2 + 14d2 98 + 77d + 14d2 = -14d2 + 14d2 Combine like terms: -14d2 + 14d2 = 0 98 + 77d + 14d2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(14 + 11d + 2d2) = 0 Factor a trinomial. 7((7 + 2d)(2 + d)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(7 + 2d)' equal to zero and attempt to solve: Simplifying 7 + 2d = 0 Solving 7 + 2d = 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 + 2d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2d = 0 + -7 2d = 0 + -7 Combine like terms: 0 + -7 = -7 2d = -7 Divide each side by '2'. d = -3.5 Simplifying d = -3.5Subproblem 2
Set the factor '(2 + d)' equal to zero and attempt to solve: Simplifying 2 + d = 0 Solving 2 + d = 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 + d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + d = 0 + -2 d = 0 + -2 Combine like terms: 0 + -2 = -2 d = -2 Simplifying d = -2Solution
d = {-3.5, -2}
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