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Simplifying -1x + 32x2 + 144 = 0 Reorder the terms: 144 + -1x + 32x2 = 0 Solving 144 + -1x + 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'. 4.5 + -0.03125x + x2 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + -0.03125x + -4.5 + x2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + -0.03125x + x2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -0.03125x + x2 = 0 + -4.5 -0.03125x + x2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 -0.03125x + x2 = -4.5 The x term is -0.03125x. Take half its coefficient (-0.015625). Square it (0.000244140625) and add it to both sides. Add '0.000244140625' to each side of the equation. -0.03125x + 0.000244140625 + x2 = -4.5 + 0.000244140625 Reorder the terms: 0.000244140625 + -0.03125x + x2 = -4.5 + 0.000244140625 Combine like terms: -4.5 + 0.000244140625 = -4.499755859375 0.000244140625 + -0.03125x + x2 = -4.499755859375 Factor a perfect square on the left side: (x + -0.015625)(x + -0.015625) = -4.499755859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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