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Simplifying 14x2 + 31x + 18 = 0 Reorder the terms: 18 + 31x + 14x2 = 0 Solving 18 + 31x + 14x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 1.285714286 + 2.214285714x + x2 = 0 Move the constant term to the right: Add '-1.285714286' to each side of the equation. 1.285714286 + 2.214285714x + -1.285714286 + x2 = 0 + -1.285714286 Reorder the terms: 1.285714286 + -1.285714286 + 2.214285714x + x2 = 0 + -1.285714286 Combine like terms: 1.285714286 + -1.285714286 = 0.000000000 0.000000000 + 2.214285714x + x2 = 0 + -1.285714286 2.214285714x + x2 = 0 + -1.285714286 Combine like terms: 0 + -1.285714286 = -1.285714286 2.214285714x + x2 = -1.285714286 The x term is 2.214285714x. Take half its coefficient (1.107142857). Square it (1.225765306) and add it to both sides. Add '1.225765306' to each side of the equation. 2.214285714x + 1.225765306 + x2 = -1.285714286 + 1.225765306 Reorder the terms: 1.225765306 + 2.214285714x + x2 = -1.285714286 + 1.225765306 Combine like terms: -1.285714286 + 1.225765306 = -0.05994898 1.225765306 + 2.214285714x + x2 = -0.05994898 Factor a perfect square on the left side: (x + 1.107142857)(x + 1.107142857) = -0.05994898 Can't calculate square root of the right side. The solution to this equation could not be determined.
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