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Simplifying (7x2) + 11x + 43 = 0 Reorder the terms: 43 + 11x + (7x2) = 0 Solving 43 + 11x + (7x2) = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 6.142857143 + 1.571428571x + x2 = 0 Move the constant term to the right: Add '-6.142857143' to each side of the equation. 6.142857143 + 1.571428571x + -6.142857143 + x2 = 0 + -6.142857143 Reorder the terms: 6.142857143 + -6.142857143 + 1.571428571x + x2 = 0 + -6.142857143 Combine like terms: 6.142857143 + -6.142857143 = 0.000000000 0.000000000 + 1.571428571x + x2 = 0 + -6.142857143 1.571428571x + x2 = 0 + -6.142857143 Combine like terms: 0 + -6.142857143 = -6.142857143 1.571428571x + x2 = -6.142857143 The x term is 1.571428571x. Take half its coefficient (0.7857142855). Square it (0.6173469384) and add it to both sides. Add '0.6173469384' to each side of the equation. 1.571428571x + 0.6173469384 + x2 = -6.142857143 + 0.6173469384 Reorder the terms: 0.6173469384 + 1.571428571x + x2 = -6.142857143 + 0.6173469384 Combine like terms: -6.142857143 + 0.6173469384 = -5.5255102046 0.6173469384 + 1.571428571x + x2 = -5.5255102046 Factor a perfect square on the left side: ((x) + 0.7857142855)((x) + 0.7857142855) = -5.5255102046 Can't calculate square root of the right side. The solution to this equation could not be determined.
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