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Simplifying 10k2 + 6k + 14 = 7 Reorder the terms: 14 + 6k + 10k2 = 7 Solving 14 + 6k + 10k2 = 7 Solving for variable 'k'. Reorder the terms: 14 + -7 + 6k + 10k2 = 7 + -7 Combine like terms: 14 + -7 = 7 7 + 6k + 10k2 = 7 + -7 Combine like terms: 7 + -7 = 0 7 + 6k + 10k2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.7 + 0.6k + k2 = 0 Move the constant term to the right: Add '-0.7' to each side of the equation. 0.7 + 0.6k + -0.7 + k2 = 0 + -0.7 Reorder the terms: 0.7 + -0.7 + 0.6k + k2 = 0 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.6k + k2 = 0 + -0.7 0.6k + k2 = 0 + -0.7 Combine like terms: 0 + -0.7 = -0.7 0.6k + k2 = -0.7 The k term is 0.6k. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6k + 0.09 + k2 = -0.7 + 0.09 Reorder the terms: 0.09 + 0.6k + k2 = -0.7 + 0.09 Combine like terms: -0.7 + 0.09 = -0.61 0.09 + 0.6k + k2 = -0.61 Factor a perfect square on the left side: (k + 0.3)(k + 0.3) = -0.61 Can't calculate square root of the right side. The solution to this equation could not be determined.
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