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Simplifying -6x2 + 25x + -69 = 0 Reorder the terms: -69 + 25x + -6x2 = 0 Solving -69 + 25x + -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'. 11.5 + -4.166666667x + x2 = 0 Move the constant term to the right: Add '-11.5' to each side of the equation. 11.5 + -4.166666667x + -11.5 + x2 = 0 + -11.5 Reorder the terms: 11.5 + -11.5 + -4.166666667x + x2 = 0 + -11.5 Combine like terms: 11.5 + -11.5 = 0.0 0.0 + -4.166666667x + x2 = 0 + -11.5 -4.166666667x + x2 = 0 + -11.5 Combine like terms: 0 + -11.5 = -11.5 -4.166666667x + x2 = -11.5 The x term is -4.166666667x. Take half its coefficient (-2.083333334). Square it (4.340277781) and add it to both sides. Add '4.340277781' to each side of the equation. -4.166666667x + 4.340277781 + x2 = -11.5 + 4.340277781 Reorder the terms: 4.340277781 + -4.166666667x + x2 = -11.5 + 4.340277781 Combine like terms: -11.5 + 4.340277781 = -7.159722219 4.340277781 + -4.166666667x + x2 = -7.159722219 Factor a perfect square on the left side: (x + -2.083333334)(x + -2.083333334) = -7.159722219 Can't calculate square root of the right side. The solution to this equation could not be determined.
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