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Simplifying 5d2 + 2d + -7 = 0 Reorder the terms: -7 + 2d + 5d2 = 0 Solving -7 + 2d + 5d2 = 0 Solving for variable 'd'. Factor a trinomial. (-7 + -5d)(1 + -1d) = 0Subproblem 1
Set the factor '(-7 + -5d)' equal to zero and attempt to solve: Simplifying -7 + -5d = 0 Solving -7 + -5d = 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 + -5d = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5d = 0 + 7 -5d = 0 + 7 Combine like terms: 0 + 7 = 7 -5d = 7 Divide each side by '-5'. d = -1.4 Simplifying d = -1.4Subproblem 2
Set the factor '(1 + -1d)' equal to zero and attempt to solve: Simplifying 1 + -1d = 0 Solving 1 + -1d = 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 + -1d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1d = 0 + -1 -1d = 0 + -1 Combine like terms: 0 + -1 = -1 -1d = -1 Divide each side by '-1'. d = 1 Simplifying d = 1Solution
d = {-1.4, 1}
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