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Simplifying 30x2 + -11x + 15 = 0 Reorder the terms: 15 + -11x + 30x2 = 0 Solving 15 + -11x + 30x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 30 the coefficient of the squared term: Divide each side by '30'. 0.5 + -0.3666666667x + x2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.3666666667x + -0.5 + x2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.3666666667x + x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.3666666667x + x2 = 0 + -0.5 -0.3666666667x + x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -0.3666666667x + x2 = -0.5 The x term is -0.3666666667x. Take half its coefficient (-0.1833333334). Square it (0.03361111114) and add it to both sides. Add '0.03361111114' to each side of the equation. -0.3666666667x + 0.03361111114 + x2 = -0.5 + 0.03361111114 Reorder the terms: 0.03361111114 + -0.3666666667x + x2 = -0.5 + 0.03361111114 Combine like terms: -0.5 + 0.03361111114 = -0.46638888886 0.03361111114 + -0.3666666667x + x2 = -0.46638888886 Factor a perfect square on the left side: (x + -0.1833333334)(x + -0.1833333334) = -0.46638888886 Can't calculate square root of the right side. The solution to this equation could not be determined.
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