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Simplifying d2 = d + -40 Reorder the terms: d2 = -40 + d Solving d2 = -40 + d Solving for variable 'd'. Reorder the terms: 40 + -1d + d2 = -40 + d + 40 + -1d Reorder the terms: 40 + -1d + d2 = -40 + 40 + d + -1d Combine like terms: -40 + 40 = 0 40 + -1d + d2 = 0 + d + -1d 40 + -1d + d2 = d + -1d Combine like terms: d + -1d = 0 40 + -1d + d2 = 0 Begin completing the square. Move the constant term to the right: Add '-40' to each side of the equation. 40 + -1d + -40 + d2 = 0 + -40 Reorder the terms: 40 + -40 + -1d + d2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1d + d2 = 0 + -40 -1d + d2 = 0 + -40 Combine like terms: 0 + -40 = -40 -1d + d2 = -40 The d term is -1d. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1d + 0.25 + d2 = -40 + 0.25 Reorder the terms: 0.25 + -1d + d2 = -40 + 0.25 Combine like terms: -40 + 0.25 = -39.75 0.25 + -1d + d2 = -39.75 Factor a perfect square on the left side: (d + -0.5)(d + -0.5) = -39.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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