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Simplifying 9x2 + 48x + 140 = 0 Reorder the terms: 140 + 48x + 9x2 = 0 Solving 140 + 48x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 15.55555556 + 5.333333333x + x2 = 0 Move the constant term to the right: Add '-15.55555556' to each side of the equation. 15.55555556 + 5.333333333x + -15.55555556 + x2 = 0 + -15.55555556 Reorder the terms: 15.55555556 + -15.55555556 + 5.333333333x + x2 = 0 + -15.55555556 Combine like terms: 15.55555556 + -15.55555556 = 0.00000000 0.00000000 + 5.333333333x + x2 = 0 + -15.55555556 5.333333333x + x2 = 0 + -15.55555556 Combine like terms: 0 + -15.55555556 = -15.55555556 5.333333333x + x2 = -15.55555556 The x term is 5.333333333x. Take half its coefficient (2.666666667). Square it (7.111111113) and add it to both sides. Add '7.111111113' to each side of the equation. 5.333333333x + 7.111111113 + x2 = -15.55555556 + 7.111111113 Reorder the terms: 7.111111113 + 5.333333333x + x2 = -15.55555556 + 7.111111113 Combine like terms: -15.55555556 + 7.111111113 = -8.444444447 7.111111113 + 5.333333333x + x2 = -8.444444447 Factor a perfect square on the left side: (x + 2.666666667)(x + 2.666666667) = -8.444444447 Can't calculate square root of the right side. The solution to this equation could not be determined.
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