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Simplifying 4D(D + -1) + -12D + 16 = 0 Reorder the terms: 4D(-1 + D) + -12D + 16 = 0 (-1 * 4D + D * 4D) + -12D + 16 = 0 (-4D + 4D2) + -12D + 16 = 0 Reorder the terms: 16 + -4D + -12D + 4D2 = 0 Combine like terms: -4D + -12D = -16D 16 + -16D + 4D2 = 0 Solving 16 + -16D + 4D2 = 0 Solving for variable 'D'. Factor out the Greatest Common Factor (GCF), '4'. 4(4 + -4D + D2) = 0 Factor a trinomial. 4((2 + -1D)(2 + -1D)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -1D)' equal to zero and attempt to solve: Simplifying 2 + -1D = 0 Solving 2 + -1D = 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 + -1D = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1D = 0 + -2 -1D = 0 + -2 Combine like terms: 0 + -2 = -2 -1D = -2 Divide each side by '-1'. D = 2 Simplifying D = 2Subproblem 2
Set the factor '(2 + -1D)' equal to zero and attempt to solve: Simplifying 2 + -1D = 0 Solving 2 + -1D = 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 + -1D = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1D = 0 + -2 -1D = 0 + -2 Combine like terms: 0 + -2 = -2 -1D = -2 Divide each side by '-1'. D = 2 Simplifying D = 2Solution
D = {2, 2}
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