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Simplifying 6x2 + 13x + 11 = 0 Reorder the terms: 11 + 13x + 6x2 = 0 Solving 11 + 13x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.833333333 + 2.166666667x + x2 = 0 Move the constant term to the right: Add '-1.833333333' to each side of the equation. 1.833333333 + 2.166666667x + -1.833333333 + x2 = 0 + -1.833333333 Reorder the terms: 1.833333333 + -1.833333333 + 2.166666667x + x2 = 0 + -1.833333333 Combine like terms: 1.833333333 + -1.833333333 = 0.000000000 0.000000000 + 2.166666667x + x2 = 0 + -1.833333333 2.166666667x + x2 = 0 + -1.833333333 Combine like terms: 0 + -1.833333333 = -1.833333333 2.166666667x + x2 = -1.833333333 The x term is 2.166666667x. Take half its coefficient (1.083333334). Square it (1.173611113) and add it to both sides. Add '1.173611113' to each side of the equation. 2.166666667x + 1.173611113 + x2 = -1.833333333 + 1.173611113 Reorder the terms: 1.173611113 + 2.166666667x + x2 = -1.833333333 + 1.173611113 Combine like terms: -1.833333333 + 1.173611113 = -0.65972222 1.173611113 + 2.166666667x + x2 = -0.65972222 Factor a perfect square on the left side: (x + 1.083333334)(x + 1.083333334) = -0.65972222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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