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Simplifying 24x2 + -22x + 7 = 0 Reorder the terms: 7 + -22x + 24x2 = 0 Solving 7 + -22x + 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'. 0.2916666667 + -0.9166666667x + x2 = 0 Move the constant term to the right: Add '-0.2916666667' to each side of the equation. 0.2916666667 + -0.9166666667x + -0.2916666667 + x2 = 0 + -0.2916666667 Reorder the terms: 0.2916666667 + -0.2916666667 + -0.9166666667x + x2 = 0 + -0.2916666667 Combine like terms: 0.2916666667 + -0.2916666667 = 0.0000000000 0.0000000000 + -0.9166666667x + x2 = 0 + -0.2916666667 -0.9166666667x + x2 = 0 + -0.2916666667 Combine like terms: 0 + -0.2916666667 = -0.2916666667 -0.9166666667x + x2 = -0.2916666667 The x term is -0.9166666667x. Take half its coefficient (-0.4583333334). Square it (0.2100694445) and add it to both sides. Add '0.2100694445' to each side of the equation. -0.9166666667x + 0.2100694445 + x2 = -0.2916666667 + 0.2100694445 Reorder the terms: 0.2100694445 + -0.9166666667x + x2 = -0.2916666667 + 0.2100694445 Combine like terms: -0.2916666667 + 0.2100694445 = -0.0815972222 0.2100694445 + -0.9166666667x + x2 = -0.0815972222 Factor a perfect square on the left side: (x + -0.4583333334)(x + -0.4583333334) = -0.0815972222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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