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Simplifying 15x2 + 3.25x + 3 = 0 Reorder the terms: 3 + 3.25x + 15x2 = 0 Solving 3 + 3.25x + 15x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.2 + 0.2166666667x + x2 = 0 Move the constant term to the right: Add '-0.2' to each side of the equation. 0.2 + 0.2166666667x + -0.2 + x2 = 0 + -0.2 Reorder the terms: 0.2 + -0.2 + 0.2166666667x + x2 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.2166666667x + x2 = 0 + -0.2 0.2166666667x + x2 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 0.2166666667x + x2 = -0.2 The x term is 0.2166666667x. Take half its coefficient (0.1083333334). Square it (0.01173611113) and add it to both sides. Add '0.01173611113' to each side of the equation. 0.2166666667x + 0.01173611113 + x2 = -0.2 + 0.01173611113 Reorder the terms: 0.01173611113 + 0.2166666667x + x2 = -0.2 + 0.01173611113 Combine like terms: -0.2 + 0.01173611113 = -0.18826388887 0.01173611113 + 0.2166666667x + x2 = -0.18826388887 Factor a perfect square on the left side: (x + 0.1083333334)(x + 0.1083333334) = -0.18826388887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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