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Simplifying 14x2 + 11x + 5 = 0 Reorder the terms: 5 + 11x + 14x2 = 0 Solving 5 + 11x + 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'. 0.3571428571 + 0.7857142857x + x2 = 0 Move the constant term to the right: Add '-0.3571428571' to each side of the equation. 0.3571428571 + 0.7857142857x + -0.3571428571 + x2 = 0 + -0.3571428571 Reorder the terms: 0.3571428571 + -0.3571428571 + 0.7857142857x + x2 = 0 + -0.3571428571 Combine like terms: 0.3571428571 + -0.3571428571 = 0.0000000000 0.0000000000 + 0.7857142857x + x2 = 0 + -0.3571428571 0.7857142857x + x2 = 0 + -0.3571428571 Combine like terms: 0 + -0.3571428571 = -0.3571428571 0.7857142857x + x2 = -0.3571428571 The x term is 0.7857142857x. Take half its coefficient (0.3928571429). Square it (0.1543367347) and add it to both sides. Add '0.1543367347' to each side of the equation. 0.7857142857x + 0.1543367347 + x2 = -0.3571428571 + 0.1543367347 Reorder the terms: 0.1543367347 + 0.7857142857x + x2 = -0.3571428571 + 0.1543367347 Combine like terms: -0.3571428571 + 0.1543367347 = -0.2028061224 0.1543367347 + 0.7857142857x + x2 = -0.2028061224 Factor a perfect square on the left side: (x + 0.3928571429)(x + 0.3928571429) = -0.2028061224 Can't calculate square root of the right side. The solution to this equation could not be determined.
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