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Simplifying k2 = 0.4k + -4 Reorder the terms: k2 = -4 + 0.4k Solving k2 = -4 + 0.4k Solving for variable 'k'. Reorder the terms: 4 + -0.4k + k2 = -4 + 0.4k + 4 + -0.4k Reorder the terms: 4 + -0.4k + k2 = -4 + 4 + 0.4k + -0.4k Combine like terms: -4 + 4 = 0 4 + -0.4k + k2 = 0 + 0.4k + -0.4k 4 + -0.4k + k2 = 0.4k + -0.4k Combine like terms: 0.4k + -0.4k = 0.0 4 + -0.4k + k2 = 0.0 Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + -0.4k + -4 + k2 = 0.0 + -4 Reorder the terms: 4 + -4 + -0.4k + k2 = 0.0 + -4 Combine like terms: 4 + -4 = 0 0 + -0.4k + k2 = 0.0 + -4 -0.4k + k2 = 0.0 + -4 Combine like terms: 0.0 + -4 = -4 -0.4k + k2 = -4 The k term is -0.4k. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4k + 0.04 + k2 = -4 + 0.04 Reorder the terms: 0.04 + -0.4k + k2 = -4 + 0.04 Combine like terms: -4 + 0.04 = -3.96 0.04 + -0.4k + k2 = -3.96 Factor a perfect square on the left side: (k + -0.2)(k + -0.2) = -3.96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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