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Simplifying 7x2 + 11x + 11 = 0 Reorder the terms: 11 + 11x + 7x2 = 0 Solving 11 + 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'. 1.571428571 + 1.571428571x + x2 = 0 Move the constant term to the right: Add '-1.571428571' to each side of the equation. 1.571428571 + 1.571428571x + -1.571428571 + x2 = 0 + -1.571428571 Reorder the terms: 1.571428571 + -1.571428571 + 1.571428571x + x2 = 0 + -1.571428571 Combine like terms: 1.571428571 + -1.571428571 = 0.000000000 0.000000000 + 1.571428571x + x2 = 0 + -1.571428571 1.571428571x + x2 = 0 + -1.571428571 Combine like terms: 0 + -1.571428571 = -1.571428571 1.571428571x + x2 = -1.571428571 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 = -1.571428571 + 0.6173469384 Reorder the terms: 0.6173469384 + 1.571428571x + x2 = -1.571428571 + 0.6173469384 Combine like terms: -1.571428571 + 0.6173469384 = -0.9540816326 0.6173469384 + 1.571428571x + x2 = -0.9540816326 Factor a perfect square on the left side: (x + 0.7857142855)(x + 0.7857142855) = -0.9540816326 Can't calculate square root of the right side. The solution to this equation could not be determined.
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