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Simplifying -1x2 + -1x + -46 = 0 Reorder the terms: -46 + -1x + -1x2 = 0 Solving -46 + -1x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(46 + x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(46 + x + x2)' equal to zero and attempt to solve: Simplifying 46 + x + x2 = 0 Solving 46 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-46' to each side of the equation. 46 + x + -46 + x2 = 0 + -46 Reorder the terms: 46 + -46 + x + x2 = 0 + -46 Combine like terms: 46 + -46 = 0 0 + x + x2 = 0 + -46 x + x2 = 0 + -46 Combine like terms: 0 + -46 = -46 x + x2 = -46 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -46 + 0.25 Reorder the terms: 0.25 + x + x2 = -46 + 0.25 Combine like terms: -46 + 0.25 = -45.75 0.25 + x + x2 = -45.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -45.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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