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Simplifying k2 + -6k + 64 = 0 Reorder the terms: 64 + -6k + k2 = 0 Solving 64 + -6k + k2 = 0 Solving for variable 'k'. Begin completing the square. Move the constant term to the right: Add '-64' to each side of the equation. 64 + -6k + -64 + k2 = 0 + -64 Reorder the terms: 64 + -64 + -6k + k2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -6k + k2 = 0 + -64 -6k + k2 = 0 + -64 Combine like terms: 0 + -64 = -64 -6k + k2 = -64 The k term is -6k. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6k + 9 + k2 = -64 + 9 Reorder the terms: 9 + -6k + k2 = -64 + 9 Combine like terms: -64 + 9 = -55 9 + -6k + k2 = -55 Factor a perfect square on the left side: (k + -3)(k + -3) = -55 Can't calculate square root of the right side. The solution to this equation could not be determined.
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