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Simplifying 32x2 + 22x + 11 = 0 Reorder the terms: 11 + 22x + 32x2 = 0 Solving 11 + 22x + 32x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. 0.34375 + 0.6875x + x2 = 0 Move the constant term to the right: Add '-0.34375' to each side of the equation. 0.34375 + 0.6875x + -0.34375 + x2 = 0 + -0.34375 Reorder the terms: 0.34375 + -0.34375 + 0.6875x + x2 = 0 + -0.34375 Combine like terms: 0.34375 + -0.34375 = 0.00000 0.00000 + 0.6875x + x2 = 0 + -0.34375 0.6875x + x2 = 0 + -0.34375 Combine like terms: 0 + -0.34375 = -0.34375 0.6875x + x2 = -0.34375 The x term is 0.6875x. Take half its coefficient (0.34375). Square it (0.1181640625) and add it to both sides. Add '0.1181640625' to each side of the equation. 0.6875x + 0.1181640625 + x2 = -0.34375 + 0.1181640625 Reorder the terms: 0.1181640625 + 0.6875x + x2 = -0.34375 + 0.1181640625 Combine like terms: -0.34375 + 0.1181640625 = -0.2255859375 0.1181640625 + 0.6875x + x2 = -0.2255859375 Factor a perfect square on the left side: (x + 0.34375)(x + 0.34375) = -0.2255859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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