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Simplifying k2 + -16k + 64 = -8 Reorder the terms: 64 + -16k + k2 = -8 Solving 64 + -16k + k2 = -8 Solving for variable 'k'. Reorder the terms: 64 + 8 + -16k + k2 = -8 + 8 Combine like terms: 64 + 8 = 72 72 + -16k + k2 = -8 + 8 Combine like terms: -8 + 8 = 0 72 + -16k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-72' to each side of the equation. 72 + -16k + -72 + k2 = 0 + -72 Reorder the terms: 72 + -72 + -16k + k2 = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -16k + k2 = 0 + -72 -16k + k2 = 0 + -72 Combine like terms: 0 + -72 = -72 -16k + k2 = -72 The k term is -16k. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16k + 64 + k2 = -72 + 64 Reorder the terms: 64 + -16k + k2 = -72 + 64 Combine like terms: -72 + 64 = -8 64 + -16k + k2 = -8 Factor a perfect square on the left side: (k + -8)(k + -8) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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