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Simplifying 2x2 + -46x + 676 = 0 Reorder the terms: 676 + -46x + 2x2 = 0 Solving 676 + -46x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(338 + -23x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(338 + -23x + x2)' equal to zero and attempt to solve: Simplifying 338 + -23x + x2 = 0 Solving 338 + -23x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-338' to each side of the equation. 338 + -23x + -338 + x2 = 0 + -338 Reorder the terms: 338 + -338 + -23x + x2 = 0 + -338 Combine like terms: 338 + -338 = 0 0 + -23x + x2 = 0 + -338 -23x + x2 = 0 + -338 Combine like terms: 0 + -338 = -338 -23x + x2 = -338 The x term is -23x. Take half its coefficient (-11.5). Square it (132.25) and add it to both sides. Add '132.25' to each side of the equation. -23x + 132.25 + x2 = -338 + 132.25 Reorder the terms: 132.25 + -23x + x2 = -338 + 132.25 Combine like terms: -338 + 132.25 = -205.75 132.25 + -23x + x2 = -205.75 Factor a perfect square on the left side: (x + -11.5)(x + -11.5) = -205.75 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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