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Simplifying 11x2 + 150x + 5000 = 0 Reorder the terms: 5000 + 150x + 11x2 = 0 Solving 5000 + 150x + 11x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 454.5454545 + 13.63636364x + x2 = 0 Move the constant term to the right: Add '-454.5454545' to each side of the equation. 454.5454545 + 13.63636364x + -454.5454545 + x2 = 0 + -454.5454545 Reorder the terms: 454.5454545 + -454.5454545 + 13.63636364x + x2 = 0 + -454.5454545 Combine like terms: 454.5454545 + -454.5454545 = 0.0000000 0.0000000 + 13.63636364x + x2 = 0 + -454.5454545 13.63636364x + x2 = 0 + -454.5454545 Combine like terms: 0 + -454.5454545 = -454.5454545 13.63636364x + x2 = -454.5454545 The x term is 13.63636364x. Take half its coefficient (6.81818182). Square it (46.48760333) and add it to both sides. Add '46.48760333' to each side of the equation. 13.63636364x + 46.48760333 + x2 = -454.5454545 + 46.48760333 Reorder the terms: 46.48760333 + 13.63636364x + x2 = -454.5454545 + 46.48760333 Combine like terms: -454.5454545 + 46.48760333 = -408.05785117 46.48760333 + 13.63636364x + x2 = -408.05785117 Factor a perfect square on the left side: (x + 6.81818182)(x + 6.81818182) = -408.05785117 Can't calculate square root of the right side. The solution to this equation could not be determined.
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