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Simplifying d2 + 3d = -7 Reorder the terms: 3d + d2 = -7 Solving 3d + d2 = -7 Solving for variable 'd'. Reorder the terms: 7 + 3d + d2 = -7 + 7 Combine like terms: -7 + 7 = 0 7 + 3d + d2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + 3d + -7 + d2 = 0 + -7 Reorder the terms: 7 + -7 + 3d + d2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3d + d2 = 0 + -7 3d + d2 = 0 + -7 Combine like terms: 0 + -7 = -7 3d + d2 = -7 The d term is 3d. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3d + 2.25 + d2 = -7 + 2.25 Reorder the terms: 2.25 + 3d + d2 = -7 + 2.25 Combine like terms: -7 + 2.25 = -4.75 2.25 + 3d + d2 = -4.75 Factor a perfect square on the left side: (d + 1.5)(d + 1.5) = -4.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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