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Simplifying 0 = 3x2 + 122x + 3721 Reorder the terms: 0 = 3721 + 122x + 3x2 Solving 0 = 3721 + 122x + 3x2 Solving for variable 'x'. Combine like terms: 0 + -3721 = -3721 -3721 + -122x + -3x2 = 3721 + 122x + 3x2 + -3721 + -122x + -3x2 Reorder the terms: -3721 + -122x + -3x2 = 3721 + -3721 + 122x + -122x + 3x2 + -3x2 Combine like terms: 3721 + -3721 = 0 -3721 + -122x + -3x2 = 0 + 122x + -122x + 3x2 + -3x2 -3721 + -122x + -3x2 = 122x + -122x + 3x2 + -3x2 Combine like terms: 122x + -122x = 0 -3721 + -122x + -3x2 = 0 + 3x2 + -3x2 -3721 + -122x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -3721 + -122x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(3721 + 122x + 3x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3721 + 122x + 3x2)' equal to zero and attempt to solve: Simplifying 3721 + 122x + 3x2 = 0 Solving 3721 + 122x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 1240.333333 + 40.66666667x + x2 = 0 Move the constant term to the right: Add '-1240.333333' to each side of the equation. 1240.333333 + 40.66666667x + -1240.333333 + x2 = 0 + -1240.333333 Reorder the terms: 1240.333333 + -1240.333333 + 40.66666667x + x2 = 0 + -1240.333333 Combine like terms: 1240.333333 + -1240.333333 = 0.000000 0.000000 + 40.66666667x + x2 = 0 + -1240.333333 40.66666667x + x2 = 0 + -1240.333333 Combine like terms: 0 + -1240.333333 = -1240.333333 40.66666667x + x2 = -1240.333333 The x term is 40.66666667x. Take half its coefficient (20.33333334). Square it (413.4444447) and add it to both sides. Add '413.4444447' to each side of the equation. 40.66666667x + 413.4444447 + x2 = -1240.333333 + 413.4444447 Reorder the terms: 413.4444447 + 40.66666667x + x2 = -1240.333333 + 413.4444447 Combine like terms: -1240.333333 + 413.4444447 = -826.8888883 413.4444447 + 40.66666667x + x2 = -826.8888883 Factor a perfect square on the left side: (x + 20.33333334)(x + 20.33333334) = -826.8888883 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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