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Simplifying 11X2 + 30X + 75 = 0 Reorder the terms: 75 + 30X + 11X2 = 0 Solving 75 + 30X + 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'. 6.818181818 + 2.727272727X + X2 = 0 Move the constant term to the right: Add '-6.818181818' to each side of the equation. 6.818181818 + 2.727272727X + -6.818181818 + X2 = 0 + -6.818181818 Reorder the terms: 6.818181818 + -6.818181818 + 2.727272727X + X2 = 0 + -6.818181818 Combine like terms: 6.818181818 + -6.818181818 = 0.000000000 0.000000000 + 2.727272727X + X2 = 0 + -6.818181818 2.727272727X + X2 = 0 + -6.818181818 Combine like terms: 0 + -6.818181818 = -6.818181818 2.727272727X + X2 = -6.818181818 The X term is 2.727272727X. Take half its coefficient (1.363636364). Square it (1.859504133) and add it to both sides. Add '1.859504133' to each side of the equation. 2.727272727X + 1.859504133 + X2 = -6.818181818 + 1.859504133 Reorder the terms: 1.859504133 + 2.727272727X + X2 = -6.818181818 + 1.859504133 Combine like terms: -6.818181818 + 1.859504133 = -4.958677685 1.859504133 + 2.727272727X + X2 = -4.958677685 Factor a perfect square on the left side: (X + 1.363636364)(X + 1.363636364) = -4.958677685 Can't calculate square root of the right side. The solution to this equation could not be determined.
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