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Simplifying 32x2 + -12x + 9 = 0 Reorder the terms: 9 + -12x + 32x2 = 0 Solving 9 + -12x + 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'. 0.28125 + -0.375x + x2 = 0 Move the constant term to the right: Add '-0.28125' to each side of the equation. 0.28125 + -0.375x + -0.28125 + x2 = 0 + -0.28125 Reorder the terms: 0.28125 + -0.28125 + -0.375x + x2 = 0 + -0.28125 Combine like terms: 0.28125 + -0.28125 = 0.00000 0.00000 + -0.375x + x2 = 0 + -0.28125 -0.375x + x2 = 0 + -0.28125 Combine like terms: 0 + -0.28125 = -0.28125 -0.375x + x2 = -0.28125 The x term is -0.375x. Take half its coefficient (-0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. -0.375x + 0.03515625 + x2 = -0.28125 + 0.03515625 Reorder the terms: 0.03515625 + -0.375x + x2 = -0.28125 + 0.03515625 Combine like terms: -0.28125 + 0.03515625 = -0.24609375 0.03515625 + -0.375x + x2 = -0.24609375 Factor a perfect square on the left side: (x + -0.1875)(x + -0.1875) = -0.24609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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