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Simplifying 2.75x2 + 5x + 120 = 0 Reorder the terms: 120 + 5x + 2.75x2 = 0 Solving 120 + 5x + 2.75x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2.75 the coefficient of the squared term: Divide each side by '2.75'. 43.63636364 + 1.818181818x + x2 = 0 Move the constant term to the right: Add '-43.63636364' to each side of the equation. 43.63636364 + 1.818181818x + -43.63636364 + x2 = 0 + -43.63636364 Reorder the terms: 43.63636364 + -43.63636364 + 1.818181818x + x2 = 0 + -43.63636364 Combine like terms: 43.63636364 + -43.63636364 = 0.00000000 0.00000000 + 1.818181818x + x2 = 0 + -43.63636364 1.818181818x + x2 = 0 + -43.63636364 Combine like terms: 0 + -43.63636364 = -43.63636364 1.818181818x + x2 = -43.63636364 The x term is 1.818181818x. Take half its coefficient (0.909090909). Square it (0.8264462808) and add it to both sides. Add '0.8264462808' to each side of the equation. 1.818181818x + 0.8264462808 + x2 = -43.63636364 + 0.8264462808 Reorder the terms: 0.8264462808 + 1.818181818x + x2 = -43.63636364 + 0.8264462808 Combine like terms: -43.63636364 + 0.8264462808 = -42.8099173592 0.8264462808 + 1.818181818x + x2 = -42.8099173592 Factor a perfect square on the left side: (x + 0.909090909)(x + 0.909090909) = -42.8099173592 Can't calculate square root of the right side. The solution to this equation could not be determined.
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