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Simplifying 3.6 = -0.004d2 + 0.04d Reorder the terms: 3.6 = 0.04d + -0.004d2 Solving 3.6 = 0.04d + -0.004d2 Solving for variable 'd'. Reorder the terms: 3.6 + -0.04d + 0.004d2 = 0.04d + -0.04d + -0.004d2 + 0.004d2 Combine like terms: 0.04d + -0.04d = 0.00 3.6 + -0.04d + 0.004d2 = 0.00 + -0.004d2 + 0.004d2 3.6 + -0.04d + 0.004d2 = -0.004d2 + 0.004d2 Combine like terms: -0.004d2 + 0.004d2 = 0.000 3.6 + -0.04d + 0.004d2 = 0.000 Begin completing the square. Divide all terms by 0.004 the coefficient of the squared term: Divide each side by '0.004'. 900 + -10d + d2 = 0 Move the constant term to the right: Add '-900' to each side of the equation. 900 + -10d + -900 + d2 = 0 + -900 Reorder the terms: 900 + -900 + -10d + d2 = 0 + -900 Combine like terms: 900 + -900 = 0 0 + -10d + d2 = 0 + -900 -10d + d2 = 0 + -900 Combine like terms: 0 + -900 = -900 -10d + d2 = -900 The d term is -10d. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10d + 25 + d2 = -900 + 25 Reorder the terms: 25 + -10d + d2 = -900 + 25 Combine like terms: -900 + 25 = -875 25 + -10d + d2 = -875 Factor a perfect square on the left side: (d + -5)(d + -5) = -875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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