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Simplifying 0 = 0.0119x2 + -45.585x + 44128 Reorder the terms: 0 = 44128 + -45.585x + 0.0119x2 Solving 0 = 44128 + -45.585x + 0.0119x2 Solving for variable 'x'. Combine like terms: 0 + -44128 = -44128 -44128 + 45.585x + -0.0119x2 = 44128 + -45.585x + 0.0119x2 + -44128 + 45.585x + -0.0119x2 Reorder the terms: -44128 + 45.585x + -0.0119x2 = 44128 + -44128 + -45.585x + 45.585x + 0.0119x2 + -0.0119x2 Combine like terms: 44128 + -44128 = 0 -44128 + 45.585x + -0.0119x2 = 0 + -45.585x + 45.585x + 0.0119x2 + -0.0119x2 -44128 + 45.585x + -0.0119x2 = -45.585x + 45.585x + 0.0119x2 + -0.0119x2 Combine like terms: -45.585x + 45.585x = 0.000 -44128 + 45.585x + -0.0119x2 = 0.000 + 0.0119x2 + -0.0119x2 -44128 + 45.585x + -0.0119x2 = 0.0119x2 + -0.0119x2 Combine like terms: 0.0119x2 + -0.0119x2 = 0.0000 -44128 + 45.585x + -0.0119x2 = 0.0000 Begin completing the square. Divide all terms by -0.0119 the coefficient of the squared term: Divide each side by '-0.0119'. 3708235.294 + -3830.672269x + x2 = 0 Move the constant term to the right: Add '-3708235.294' to each side of the equation. 3708235.294 + -3830.672269x + -3708235.294 + x2 = 0 + -3708235.294 Reorder the terms: 3708235.294 + -3708235.294 + -3830.672269x + x2 = 0 + -3708235.294 Combine like terms: 3708235.294 + -3708235.294 = 0.000 0.000 + -3830.672269x + x2 = 0 + -3708235.294 -3830.672269x + x2 = 0 + -3708235.294 Combine like terms: 0 + -3708235.294 = -3708235.294 -3830.672269x + x2 = -3708235.294 The x term is -3830.672269x. Take half its coefficient (-1915.336135). Square it (3668512.510) and add it to both sides. Add '3668512.510' to each side of the equation. -3830.672269x + 3668512.510 + x2 = -3708235.294 + 3668512.510 Reorder the terms: 3668512.510 + -3830.672269x + x2 = -3708235.294 + 3668512.510 Combine like terms: -3708235.294 + 3668512.510 = -39722.784 3668512.510 + -3830.672269x + x2 = -39722.784 Factor a perfect square on the left side: (x + -1915.336135)(x + -1915.336135) = -39722.784 Can't calculate square root of the right side. The solution to this equation could not be determined.
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