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Simplifying 32x2 + -7x + 20 = 0 Reorder the terms: 20 + -7x + 32x2 = 0 Solving 20 + -7x + 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'. 0.625 + -0.21875x + x2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + -0.21875x + -0.625 + x2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + -0.21875x + x2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + -0.21875x + x2 = 0 + -0.625 -0.21875x + x2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 -0.21875x + x2 = -0.625 The x term is -0.21875x. Take half its coefficient (-0.109375). Square it (0.01196289063) and add it to both sides. Add '0.01196289063' to each side of the equation. -0.21875x + 0.01196289063 + x2 = -0.625 + 0.01196289063 Reorder the terms: 0.01196289063 + -0.21875x + x2 = -0.625 + 0.01196289063 Combine like terms: -0.625 + 0.01196289063 = -0.61303710937 0.01196289063 + -0.21875x + x2 = -0.61303710937 Factor a perfect square on the left side: (x + -0.109375)(x + -0.109375) = -0.61303710937 Can't calculate square root of the right side. The solution to this equation could not be determined.
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