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Simplifying 6x2 + 13x + 15 = 0 Reorder the terms: 15 + 13x + 6x2 = 0 Solving 15 + 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'. 2.5 + 2.166666667x + x2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + 2.166666667x + -2.5 + x2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + 2.166666667x + x2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 2.166666667x + x2 = 0 + -2.5 2.166666667x + x2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 2.166666667x + x2 = -2.5 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 = -2.5 + 1.173611113 Reorder the terms: 1.173611113 + 2.166666667x + x2 = -2.5 + 1.173611113 Combine like terms: -2.5 + 1.173611113 = -1.326388887 1.173611113 + 2.166666667x + x2 = -1.326388887 Factor a perfect square on the left side: (x + 1.083333334)(x + 1.083333334) = -1.326388887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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