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Simplifying 75D2 + 50D + 12 = 0 Reorder the terms: 12 + 50D + 75D2 = 0 Solving 12 + 50D + 75D2 = 0 Solving for variable 'D'. Begin completing the square. Divide all terms by 75 the coefficient of the squared term: Divide each side by '75'. 0.16 + 0.6666666667D + D2 = 0 Move the constant term to the right: Add '-0.16' to each side of the equation. 0.16 + 0.6666666667D + -0.16 + D2 = 0 + -0.16 Reorder the terms: 0.16 + -0.16 + 0.6666666667D + D2 = 0 + -0.16 Combine like terms: 0.16 + -0.16 = 0.00 0.00 + 0.6666666667D + D2 = 0 + -0.16 0.6666666667D + D2 = 0 + -0.16 Combine like terms: 0 + -0.16 = -0.16 0.6666666667D + D2 = -0.16 The D term is 0.6666666667D. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667D + 0.1111111112 + D2 = -0.16 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667D + D2 = -0.16 + 0.1111111112 Combine like terms: -0.16 + 0.1111111112 = -0.0488888888 0.1111111112 + 0.6666666667D + D2 = -0.0488888888 Factor a perfect square on the left side: (D + 0.3333333334)(D + 0.3333333334) = -0.0488888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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