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Simplifying 35k2 + -22k + 7 = -3 Reorder the terms: 7 + -22k + 35k2 = -3 Solving 7 + -22k + 35k2 = -3 Solving for variable 'k'. Reorder the terms: 7 + 3 + -22k + 35k2 = -3 + 3 Combine like terms: 7 + 3 = 10 10 + -22k + 35k2 = -3 + 3 Combine like terms: -3 + 3 = 0 10 + -22k + 35k2 = 0 Begin completing the square. Divide all terms by 35 the coefficient of the squared term: Divide each side by '35'. 0.2857142857 + -0.6285714286k + k2 = 0 Move the constant term to the right: Add '-0.2857142857' to each side of the equation. 0.2857142857 + -0.6285714286k + -0.2857142857 + k2 = 0 + -0.2857142857 Reorder the terms: 0.2857142857 + -0.2857142857 + -0.6285714286k + k2 = 0 + -0.2857142857 Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000 0.0000000000 + -0.6285714286k + k2 = 0 + -0.2857142857 -0.6285714286k + k2 = 0 + -0.2857142857 Combine like terms: 0 + -0.2857142857 = -0.2857142857 -0.6285714286k + k2 = -0.2857142857 The k term is -0.6285714286k. Take half its coefficient (-0.3142857143). Square it (0.09877551021) and add it to both sides. Add '0.09877551021' to each side of the equation. -0.6285714286k + 0.09877551021 + k2 = -0.2857142857 + 0.09877551021 Reorder the terms: 0.09877551021 + -0.6285714286k + k2 = -0.2857142857 + 0.09877551021 Combine like terms: -0.2857142857 + 0.09877551021 = -0.18693877549 0.09877551021 + -0.6285714286k + k2 = -0.18693877549 Factor a perfect square on the left side: (k + -0.3142857143)(k + -0.3142857143) = -0.18693877549 Can't calculate square root of the right side. The solution to this equation could not be determined.
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