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Simplifying 48x2 + -88x + 4224 = 0 Reorder the terms: 4224 + -88x + 48x2 = 0 Solving 4224 + -88x + 48x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(528 + -11x + 6x2) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(528 + -11x + 6x2)' equal to zero and attempt to solve: Simplifying 528 + -11x + 6x2 = 0 Solving 528 + -11x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 88 + -1.833333333x + x2 = 0 Move the constant term to the right: Add '-88' to each side of the equation. 88 + -1.833333333x + -88 + x2 = 0 + -88 Reorder the terms: 88 + -88 + -1.833333333x + x2 = 0 + -88 Combine like terms: 88 + -88 = 0 0 + -1.833333333x + x2 = 0 + -88 -1.833333333x + x2 = 0 + -88 Combine like terms: 0 + -88 = -88 -1.833333333x + x2 = -88 The x term is -1.833333333x. Take half its coefficient (-0.9166666665). Square it (0.8402777775) and add it to both sides. Add '0.8402777775' to each side of the equation. -1.833333333x + 0.8402777775 + x2 = -88 + 0.8402777775 Reorder the terms: 0.8402777775 + -1.833333333x + x2 = -88 + 0.8402777775 Combine like terms: -88 + 0.8402777775 = -87.1597222225 0.8402777775 + -1.833333333x + x2 = -87.1597222225 Factor a perfect square on the left side: (x + -0.9166666665)(x + -0.9166666665) = -87.1597222225 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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