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Simplifying 24x2 + -13x + 2 = 0 Reorder the terms: 2 + -13x + 24x2 = 0 Solving 2 + -13x + 24x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. 0.08333333333 + -0.5416666667x + x2 = 0 Move the constant term to the right: Add '-0.08333333333' to each side of the equation. 0.08333333333 + -0.5416666667x + -0.08333333333 + x2 = 0 + -0.08333333333 Reorder the terms: 0.08333333333 + -0.08333333333 + -0.5416666667x + x2 = 0 + -0.08333333333 Combine like terms: 0.08333333333 + -0.08333333333 = 0.00000000000 0.00000000000 + -0.5416666667x + x2 = 0 + -0.08333333333 -0.5416666667x + x2 = 0 + -0.08333333333 Combine like terms: 0 + -0.08333333333 = -0.08333333333 -0.5416666667x + x2 = -0.08333333333 The x term is -0.5416666667x. Take half its coefficient (-0.2708333334). Square it (0.07335069448) and add it to both sides. Add '0.07335069448' to each side of the equation. -0.5416666667x + 0.07335069448 + x2 = -0.08333333333 + 0.07335069448 Reorder the terms: 0.07335069448 + -0.5416666667x + x2 = -0.08333333333 + 0.07335069448 Combine like terms: -0.08333333333 + 0.07335069448 = -0.00998263885 0.07335069448 + -0.5416666667x + x2 = -0.00998263885 Factor a perfect square on the left side: (x + -0.2708333334)(x + -0.2708333334) = -0.00998263885 Can't calculate square root of the right side. The solution to this equation could not be determined.
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