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Simplifying 6x2 + 2.5x + 7 = 0 Reorder the terms: 7 + 2.5x + 6x2 = 0 Solving 7 + 2.5x + 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'. 1.166666667 + 0.4166666667x + x2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + 0.4166666667x + -1.166666667 + x2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + 0.4166666667x + x2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + 0.4166666667x + x2 = 0 + -1.166666667 0.4166666667x + x2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 0.4166666667x + x2 = -1.166666667 The x term is 0.4166666667x. Take half its coefficient (0.2083333334). Square it (0.04340277781) and add it to both sides. Add '0.04340277781' to each side of the equation. 0.4166666667x + 0.04340277781 + x2 = -1.166666667 + 0.04340277781 Reorder the terms: 0.04340277781 + 0.4166666667x + x2 = -1.166666667 + 0.04340277781 Combine like terms: -1.166666667 + 0.04340277781 = -1.12326388919 0.04340277781 + 0.4166666667x + x2 = -1.12326388919 Factor a perfect square on the left side: (x + 0.2083333334)(x + 0.2083333334) = -1.12326388919 Can't calculate square root of the right side. The solution to this equation could not be determined.
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