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Simplifying 0.75d2 + -3d = -4 Reorder the terms: -3d + 0.75d2 = -4 Solving -3d + 0.75d2 = -4 Solving for variable 'd'. Reorder the terms: 4 + -3d + 0.75d2 = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -3d + 0.75d2 = 0 Begin completing the square. Divide all terms by 0.75 the coefficient of the squared term: Divide each side by '0.75'. 5.333333333 + -4d + d2 = 0 Move the constant term to the right: Add '-5.333333333' to each side of the equation. 5.333333333 + -4d + -5.333333333 + d2 = 0 + -5.333333333 Reorder the terms: 5.333333333 + -5.333333333 + -4d + d2 = 0 + -5.333333333 Combine like terms: 5.333333333 + -5.333333333 = 0.000000000 0.000000000 + -4d + d2 = 0 + -5.333333333 -4d + d2 = 0 + -5.333333333 Combine like terms: 0 + -5.333333333 = -5.333333333 -4d + d2 = -5.333333333 The d term is -4d. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4d + 4 + d2 = -5.333333333 + 4 Reorder the terms: 4 + -4d + d2 = -5.333333333 + 4 Combine like terms: -5.333333333 + 4 = -1.333333333 4 + -4d + d2 = -1.333333333 Factor a perfect square on the left side: (d + -2)(d + -2) = -1.333333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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