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Simplifying 8.6086 = x(1 + -12.353x) 8.6086 = (1 * x + -12.353x * x) 8.6086 = (1x + -12.353x2) Solving 8.6086 = 1x + -12.353x2 Solving for variable 'x'. Reorder the terms: 8.6086 + -1x + 12.353x2 = 1x + -1x + -12.353x2 + 12.353x2 Combine like terms: 1x + -1x = 0 8.6086 + -1x + 12.353x2 = 0 + -12.353x2 + 12.353x2 8.6086 + -1x + 12.353x2 = -12.353x2 + 12.353x2 Combine like terms: -12.353x2 + 12.353x2 = 0.000 8.6086 + -1x + 12.353x2 = 0.000 Begin completing the square. Divide all terms by 12.353 the coefficient of the squared term: Divide each side by '12.353'. 0.6968833482 + -0.08095199547x + x2 = 0 Move the constant term to the right: Add '-0.6968833482' to each side of the equation. 0.6968833482 + -0.08095199547x + -0.6968833482 + x2 = 0 + -0.6968833482 Reorder the terms: 0.6968833482 + -0.6968833482 + -0.08095199547x + x2 = 0 + -0.6968833482 Combine like terms: 0.6968833482 + -0.6968833482 = 0.0000000000 0.0000000000 + -0.08095199547x + x2 = 0 + -0.6968833482 -0.08095199547x + x2 = 0 + -0.6968833482 Combine like terms: 0 + -0.6968833482 = -0.6968833482 -0.08095199547x + x2 = -0.6968833482 The x term is -0.08095199547x. Take half its coefficient (-0.04047599774). Square it (0.001638306393) and add it to both sides. Add '0.001638306393' to each side of the equation. -0.08095199547x + 0.001638306393 + x2 = -0.6968833482 + 0.001638306393 Reorder the terms: 0.001638306393 + -0.08095199547x + x2 = -0.6968833482 + 0.001638306393 Combine like terms: -0.6968833482 + 0.001638306393 = -0.695245041807 0.001638306393 + -0.08095199547x + x2 = -0.695245041807 Factor a perfect square on the left side: (x + -0.04047599774)(x + -0.04047599774) = -0.695245041807 Can't calculate square root of the right side. The solution to this equation could not be determined.
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