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Simplifying 4D2 + -11D + 7 = 0 Reorder the terms: 7 + -11D + 4D2 = 0 Solving 7 + -11D + 4D2 = 0 Solving for variable 'D'. Factor a trinomial. (1 + -1D)(7 + -4D) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(7 + -4D)' equal to zero and attempt to solve: Simplifying 7 + -4D = 0 Solving 7 + -4D = 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 + -4D = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4D = 0 + -7 -4D = 0 + -7 Combine like terms: 0 + -7 = -7 -4D = -7 Divide each side by '-4'. D = 1.75 Simplifying D = 1.75Solution
D = {1, 1.75}
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