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Simplifying 120 + -46x + 12x2 = 0 Solving 120 + -46x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(60 + -23x + 6x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(60 + -23x + 6x2)' equal to zero and attempt to solve: Simplifying 60 + -23x + 6x2 = 0 Solving 60 + -23x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 10 + -3.833333333x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -3.833333333x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -3.833333333x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3.833333333x + x2 = 0 + -10 -3.833333333x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -3.833333333x + x2 = -10 The x term is -3.833333333x. Take half its coefficient (-1.916666667). Square it (3.673611112) and add it to both sides. Add '3.673611112' to each side of the equation. -3.833333333x + 3.673611112 + x2 = -10 + 3.673611112 Reorder the terms: 3.673611112 + -3.833333333x + x2 = -10 + 3.673611112 Combine like terms: -10 + 3.673611112 = -6.326388888 3.673611112 + -3.833333333x + x2 = -6.326388888 Factor a perfect square on the left side: (x + -1.916666667)(x + -1.916666667) = -6.326388888 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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