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Simplifying d2 + 13d + 56 = 0 Reorder the terms: 56 + 13d + d2 = 0 Solving 56 + 13d + d2 = 0 Solving for variable 'd'. Begin completing the square. Move the constant term to the right: Add '-56' to each side of the equation. 56 + 13d + -56 + d2 = 0 + -56 Reorder the terms: 56 + -56 + 13d + d2 = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 13d + d2 = 0 + -56 13d + d2 = 0 + -56 Combine like terms: 0 + -56 = -56 13d + d2 = -56 The d term is 13d. Take half its coefficient (6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. 13d + 42.25 + d2 = -56 + 42.25 Reorder the terms: 42.25 + 13d + d2 = -56 + 42.25 Combine like terms: -56 + 42.25 = -13.75 42.25 + 13d + d2 = -13.75 Factor a perfect square on the left side: (d + 6.5)(d + 6.5) = -13.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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