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Simplifying 468x2 + -1216x + 62244 = 0 Reorder the terms: 62244 + -1216x + 468x2 = 0 Solving 62244 + -1216x + 468x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(15561 + -304x + 117x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(15561 + -304x + 117x2)' equal to zero and attempt to solve: Simplifying 15561 + -304x + 117x2 = 0 Solving 15561 + -304x + 117x2 = 0 Begin completing the square. Divide all terms by 117 the coefficient of the squared term: Divide each side by '117'. 133 + -2.598290598x + x2 = 0 Move the constant term to the right: Add '-133' to each side of the equation. 133 + -2.598290598x + -133 + x2 = 0 + -133 Reorder the terms: 133 + -133 + -2.598290598x + x2 = 0 + -133 Combine like terms: 133 + -133 = 0 0 + -2.598290598x + x2 = 0 + -133 -2.598290598x + x2 = 0 + -133 Combine like terms: 0 + -133 = -133 -2.598290598x + x2 = -133 The x term is -2.598290598x. Take half its coefficient (-1.299145299). Square it (1.687778508) and add it to both sides. Add '1.687778508' to each side of the equation. -2.598290598x + 1.687778508 + x2 = -133 + 1.687778508 Reorder the terms: 1.687778508 + -2.598290598x + x2 = -133 + 1.687778508 Combine like terms: -133 + 1.687778508 = -131.312221492 1.687778508 + -2.598290598x + x2 = -131.312221492 Factor a perfect square on the left side: (x + -1.299145299)(x + -1.299145299) = -131.312221492 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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