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Simplifying 6x2 + -46x + 120 = 0 Reorder the terms: 120 + -46x + 6x2 = 0 Solving 120 + -46x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(60 + -23x + 3x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(60 + -23x + 3x2)' equal to zero and attempt to solve: Simplifying 60 + -23x + 3x2 = 0 Solving 60 + -23x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 20 + -7.666666667x + x2 = 0 Move the constant term to the right: Add '-20' to each side of the equation. 20 + -7.666666667x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + -7.666666667x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -7.666666667x + x2 = 0 + -20 -7.666666667x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 -7.666666667x + x2 = -20 The x term is -7.666666667x. Take half its coefficient (-3.833333334). Square it (14.69444445) and add it to both sides. Add '14.69444445' to each side of the equation. -7.666666667x + 14.69444445 + x2 = -20 + 14.69444445 Reorder the terms: 14.69444445 + -7.666666667x + x2 = -20 + 14.69444445 Combine like terms: -20 + 14.69444445 = -5.30555555 14.69444445 + -7.666666667x + x2 = -5.30555555 Factor a perfect square on the left side: (x + -3.833333334)(x + -3.833333334) = -5.30555555 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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