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Simplifying 1690000 = -32x2 + x Reorder the terms: 1690000 = x + -32x2 Solving 1690000 = x + -32x2 Solving for variable 'x'. Reorder the terms: 1690000 + -1x + 32x2 = x + -1x + -32x2 + 32x2 Combine like terms: x + -1x = 0 1690000 + -1x + 32x2 = 0 + -32x2 + 32x2 1690000 + -1x + 32x2 = -32x2 + 32x2 Combine like terms: -32x2 + 32x2 = 0 1690000 + -1x + 32x2 = 0 Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. 52812.5 + -0.03125x + x2 = 0 Move the constant term to the right: Add '-52812.5' to each side of the equation. 52812.5 + -0.03125x + -52812.5 + x2 = 0 + -52812.5 Reorder the terms: 52812.5 + -52812.5 + -0.03125x + x2 = 0 + -52812.5 Combine like terms: 52812.5 + -52812.5 = 0.0 0.0 + -0.03125x + x2 = 0 + -52812.5 -0.03125x + x2 = 0 + -52812.5 Combine like terms: 0 + -52812.5 = -52812.5 -0.03125x + x2 = -52812.5 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 = -52812.5 + 0.000244140625 Reorder the terms: 0.000244140625 + -0.03125x + x2 = -52812.5 + 0.000244140625 Combine like terms: -52812.5 + 0.000244140625 = -52812.499755859375 0.000244140625 + -0.03125x + x2 = -52812.499755859375 Factor a perfect square on the left side: (x + -0.015625)(x + -0.015625) = -52812.499755859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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