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Simplifying 52x2 + 18x + 117 = 0 Reorder the terms: 117 + 18x + 52x2 = 0 Solving 117 + 18x + 52x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 52 the coefficient of the squared term: Divide each side by '52'. 2.25 + 0.3461538462x + x2 = 0 Move the constant term to the right: Add '-2.25' to each side of the equation. 2.25 + 0.3461538462x + -2.25 + x2 = 0 + -2.25 Reorder the terms: 2.25 + -2.25 + 0.3461538462x + x2 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + 0.3461538462x + x2 = 0 + -2.25 0.3461538462x + x2 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 0.3461538462x + x2 = -2.25 The x term is 0.3461538462x. Take half its coefficient (0.1730769231). Square it (0.02995562131) and add it to both sides. Add '0.02995562131' to each side of the equation. 0.3461538462x + 0.02995562131 + x2 = -2.25 + 0.02995562131 Reorder the terms: 0.02995562131 + 0.3461538462x + x2 = -2.25 + 0.02995562131 Combine like terms: -2.25 + 0.02995562131 = -2.22004437869 0.02995562131 + 0.3461538462x + x2 = -2.22004437869 Factor a perfect square on the left side: (x + 0.1730769231)(x + 0.1730769231) = -2.22004437869 Can't calculate square root of the right side. The solution to this equation could not be determined.
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