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Simplifying 9x2 + -22x + 45 = 0 Reorder the terms: 45 + -22x + 9x2 = 0 Solving 45 + -22x + 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'. 5 + -2.444444444x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -2.444444444x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -2.444444444x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2.444444444x + x2 = 0 + -5 -2.444444444x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2.444444444x + x2 = -5 The x term is -2.444444444x. Take half its coefficient (-1.222222222). Square it (1.493827160) and add it to both sides. Add '1.493827160' to each side of the equation. -2.444444444x + 1.493827160 + x2 = -5 + 1.493827160 Reorder the terms: 1.493827160 + -2.444444444x + x2 = -5 + 1.493827160 Combine like terms: -5 + 1.493827160 = -3.50617284 1.493827160 + -2.444444444x + x2 = -3.50617284 Factor a perfect square on the left side: (x + -1.222222222)(x + -1.222222222) = -3.50617284 Can't calculate square root of the right side. The solution to this equation could not be determined.
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