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Simplifying 7k2 + -16k + 100 = 0 Reorder the terms: 100 + -16k + 7k2 = 0 Solving 100 + -16k + 7k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 14.28571429 + -2.285714286k + k2 = 0 Move the constant term to the right: Add '-14.28571429' to each side of the equation. 14.28571429 + -2.285714286k + -14.28571429 + k2 = 0 + -14.28571429 Reorder the terms: 14.28571429 + -14.28571429 + -2.285714286k + k2 = 0 + -14.28571429 Combine like terms: 14.28571429 + -14.28571429 = 0.00000000 0.00000000 + -2.285714286k + k2 = 0 + -14.28571429 -2.285714286k + k2 = 0 + -14.28571429 Combine like terms: 0 + -14.28571429 = -14.28571429 -2.285714286k + k2 = -14.28571429 The k term is -2.285714286k. Take half its coefficient (-1.142857143). Square it (1.306122449) and add it to both sides. Add '1.306122449' to each side of the equation. -2.285714286k + 1.306122449 + k2 = -14.28571429 + 1.306122449 Reorder the terms: 1.306122449 + -2.285714286k + k2 = -14.28571429 + 1.306122449 Combine like terms: -14.28571429 + 1.306122449 = -12.979591841 1.306122449 + -2.285714286k + k2 = -12.979591841 Factor a perfect square on the left side: (k + -1.142857143)(k + -1.142857143) = -12.979591841 Can't calculate square root of the right side. The solution to this equation could not be determined.
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