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Simplifying 11x2 + -30x + 36 = 0 Reorder the terms: 36 + -30x + 11x2 = 0 Solving 36 + -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'. 3.272727273 + -2.727272727x + x2 = 0 Move the constant term to the right: Add '-3.272727273' to each side of the equation. 3.272727273 + -2.727272727x + -3.272727273 + x2 = 0 + -3.272727273 Reorder the terms: 3.272727273 + -3.272727273 + -2.727272727x + x2 = 0 + -3.272727273 Combine like terms: 3.272727273 + -3.272727273 = 0.000000000 0.000000000 + -2.727272727x + x2 = 0 + -3.272727273 -2.727272727x + x2 = 0 + -3.272727273 Combine like terms: 0 + -3.272727273 = -3.272727273 -2.727272727x + x2 = -3.272727273 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 = -3.272727273 + 1.859504133 Reorder the terms: 1.859504133 + -2.727272727x + x2 = -3.272727273 + 1.859504133 Combine like terms: -3.272727273 + 1.859504133 = -1.41322314 1.859504133 + -2.727272727x + x2 = -1.41322314 Factor a perfect square on the left side: (x + -1.363636364)(x + -1.363636364) = -1.41322314 Can't calculate square root of the right side. The solution to this equation could not be determined.
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