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Simplifying 48x2 + 34x + 105 = 0 Reorder the terms: 105 + 34x + 48x2 = 0 Solving 105 + 34x + 48x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 48 the coefficient of the squared term: Divide each side by '48'. 2.1875 + 0.7083333333x + x2 = 0 Move the constant term to the right: Add '-2.1875' to each side of the equation. 2.1875 + 0.7083333333x + -2.1875 + x2 = 0 + -2.1875 Reorder the terms: 2.1875 + -2.1875 + 0.7083333333x + x2 = 0 + -2.1875 Combine like terms: 2.1875 + -2.1875 = 0.0000 0.0000 + 0.7083333333x + x2 = 0 + -2.1875 0.7083333333x + x2 = 0 + -2.1875 Combine like terms: 0 + -2.1875 = -2.1875 0.7083333333x + x2 = -2.1875 The x term is 0.7083333333x. Take half its coefficient (0.3541666667). Square it (0.1254340278) and add it to both sides. Add '0.1254340278' to each side of the equation. 0.7083333333x + 0.1254340278 + x2 = -2.1875 + 0.1254340278 Reorder the terms: 0.1254340278 + 0.7083333333x + x2 = -2.1875 + 0.1254340278 Combine like terms: -2.1875 + 0.1254340278 = -2.0620659722 0.1254340278 + 0.7083333333x + x2 = -2.0620659722 Factor a perfect square on the left side: (x + 0.3541666667)(x + 0.3541666667) = -2.0620659722 Can't calculate square root of the right side. The solution to this equation could not be determined.
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