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Simplifying 5d2 + 49d + -10 = 0 Reorder the terms: -10 + 49d + 5d2 = 0 Solving -10 + 49d + 5d2 = 0 Solving for variable 'd'. Factor a trinomial. (-10 + -1d)(1 + -5d) = 0Subproblem 1
Set the factor '(-10 + -1d)' equal to zero and attempt to solve: Simplifying -10 + -1d = 0 Solving -10 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1d = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1d = 0 + 10 -1d = 0 + 10 Combine like terms: 0 + 10 = 10 -1d = 10 Divide each side by '-1'. d = -10 Simplifying d = -10Subproblem 2
Set the factor '(1 + -5d)' equal to zero and attempt to solve: Simplifying 1 + -5d = 0 Solving 1 + -5d = 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 + -5d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5d = 0 + -1 -5d = 0 + -1 Combine like terms: 0 + -1 = -1 -5d = -1 Divide each side by '-5'. d = 0.2 Simplifying d = 0.2Solution
d = {-10, 0.2}
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