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Simplifying k2 + -5k + 40 = 0 Reorder the terms: 40 + -5k + k2 = 0 Solving 40 + -5k + k2 = 0 Solving for variable 'k'. Begin completing the square. Move the constant term to the right: Add '-40' to each side of the equation. 40 + -5k + -40 + k2 = 0 + -40 Reorder the terms: 40 + -40 + -5k + k2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -5k + k2 = 0 + -40 -5k + k2 = 0 + -40 Combine like terms: 0 + -40 = -40 -5k + k2 = -40 The k term is -5k. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5k + 6.25 + k2 = -40 + 6.25 Reorder the terms: 6.25 + -5k + k2 = -40 + 6.25 Combine like terms: -40 + 6.25 = -33.75 6.25 + -5k + k2 = -33.75 Factor a perfect square on the left side: (k + -2.5)(k + -2.5) = -33.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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