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Simplifying (11x + -3)(11x + -3) = -11 Reorder the terms: (-3 + 11x)(11x + -3) = -11 Reorder the terms: (-3 + 11x)(-3 + 11x) = -11 Multiply (-3 + 11x) * (-3 + 11x) (-3(-3 + 11x) + 11x * (-3 + 11x)) = -11 ((-3 * -3 + 11x * -3) + 11x * (-3 + 11x)) = -11 ((9 + -33x) + 11x * (-3 + 11x)) = -11 (9 + -33x + (-3 * 11x + 11x * 11x)) = -11 (9 + -33x + (-33x + 121x2)) = -11 Combine like terms: -33x + -33x = -66x (9 + -66x + 121x2) = -11 Solving 9 + -66x + 121x2 = -11 Solving for variable 'x'. Reorder the terms: 9 + 11 + -66x + 121x2 = -11 + 11 Combine like terms: 9 + 11 = 20 20 + -66x + 121x2 = -11 + 11 Combine like terms: -11 + 11 = 0 20 + -66x + 121x2 = 0 Begin completing the square. Divide all terms by 121 the coefficient of the squared term: Divide each side by '121'. 0.1652892562 + -0.5454545455x + x2 = 0 Move the constant term to the right: Add '-0.1652892562' to each side of the equation. 0.1652892562 + -0.5454545455x + -0.1652892562 + x2 = 0 + -0.1652892562 Reorder the terms: 0.1652892562 + -0.1652892562 + -0.5454545455x + x2 = 0 + -0.1652892562 Combine like terms: 0.1652892562 + -0.1652892562 = 0.0000000000 0.0000000000 + -0.5454545455x + x2 = 0 + -0.1652892562 -0.5454545455x + x2 = 0 + -0.1652892562 Combine like terms: 0 + -0.1652892562 = -0.1652892562 -0.5454545455x + x2 = -0.1652892562 The x term is -0.5454545455x. Take half its coefficient (-0.2727272728). Square it (0.07438016533) and add it to both sides. Add '0.07438016533' to each side of the equation. -0.5454545455x + 0.07438016533 + x2 = -0.1652892562 + 0.07438016533 Reorder the terms: 0.07438016533 + -0.5454545455x + x2 = -0.1652892562 + 0.07438016533 Combine like terms: -0.1652892562 + 0.07438016533 = -0.09090909087 0.07438016533 + -0.5454545455x + x2 = -0.09090909087 Factor a perfect square on the left side: (x + -0.2727272728)(x + -0.2727272728) = -0.09090909087 Can't calculate square root of the right side. The solution to this equation could not be determined.
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