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Simplifying 36x2 + -36x + 36 = 1 Reorder the terms: 36 + -36x + 36x2 = 1 Solving 36 + -36x + 36x2 = 1 Solving for variable 'x'. Reorder the terms: 36 + -1 + -36x + 36x2 = 1 + -1 Combine like terms: 36 + -1 = 35 35 + -36x + 36x2 = 1 + -1 Combine like terms: 1 + -1 = 0 35 + -36x + 36x2 = 0 Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. 0.9722222222 + -1x + x2 = 0 Move the constant term to the right: Add '-0.9722222222' to each side of the equation. 0.9722222222 + -1x + -0.9722222222 + x2 = 0 + -0.9722222222 Reorder the terms: 0.9722222222 + -0.9722222222 + -1x + x2 = 0 + -0.9722222222 Combine like terms: 0.9722222222 + -0.9722222222 = 0.0000000000 0.0000000000 + -1x + x2 = 0 + -0.9722222222 -1x + x2 = 0 + -0.9722222222 Combine like terms: 0 + -0.9722222222 = -0.9722222222 -1x + x2 = -0.9722222222 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -0.9722222222 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -0.9722222222 + 0.25 Combine like terms: -0.9722222222 + 0.25 = -0.7222222222 0.25 + -1x + x2 = -0.7222222222 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -0.7222222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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