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Simplifying -5d2 + 2d = 10 Reorder the terms: 2d + -5d2 = 10 Solving 2d + -5d2 = 10 Solving for variable 'd'. Reorder the terms: -10 + 2d + -5d2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 2d + -5d2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 2 + -0.4d + d2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.4d + -2 + d2 = 0 + -2 Reorder the terms: 2 + -2 + -0.4d + d2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.4d + d2 = 0 + -2 -0.4d + d2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.4d + d2 = -2 The d term is -0.4d. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4d + 0.04 + d2 = -2 + 0.04 Reorder the terms: 0.04 + -0.4d + d2 = -2 + 0.04 Combine like terms: -2 + 0.04 = -1.96 0.04 + -0.4d + d2 = -1.96 Factor a perfect square on the left side: (d + -0.2)(d + -0.2) = -1.96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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