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Simplifying 6x2 + -13x + 169 = 0 Reorder the terms: 169 + -13x + 6x2 = 0 Solving 169 + -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'. 28.16666667 + -2.166666667x + x2 = 0 Move the constant term to the right: Add '-28.16666667' to each side of the equation. 28.16666667 + -2.166666667x + -28.16666667 + x2 = 0 + -28.16666667 Reorder the terms: 28.16666667 + -28.16666667 + -2.166666667x + x2 = 0 + -28.16666667 Combine like terms: 28.16666667 + -28.16666667 = 0.00000000 0.00000000 + -2.166666667x + x2 = 0 + -28.16666667 -2.166666667x + x2 = 0 + -28.16666667 Combine like terms: 0 + -28.16666667 = -28.16666667 -2.166666667x + x2 = -28.16666667 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 = -28.16666667 + 1.173611113 Reorder the terms: 1.173611113 + -2.166666667x + x2 = -28.16666667 + 1.173611113 Combine like terms: -28.16666667 + 1.173611113 = -26.993055557 1.173611113 + -2.166666667x + x2 = -26.993055557 Factor a perfect square on the left side: (x + -1.083333334)(x + -1.083333334) = -26.993055557 Can't calculate square root of the right side. The solution to this equation could not be determined.
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