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Simplifying 45x2 + -22x + 10 = 0 Reorder the terms: 10 + -22x + 45x2 = 0 Solving 10 + -22x + 45x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 45 the coefficient of the squared term: Divide each side by '45'. 0.2222222222 + -0.4888888889x + x2 = 0 Move the constant term to the right: Add '-0.2222222222' to each side of the equation. 0.2222222222 + -0.4888888889x + -0.2222222222 + x2 = 0 + -0.2222222222 Reorder the terms: 0.2222222222 + -0.2222222222 + -0.4888888889x + x2 = 0 + -0.2222222222 Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000 0.0000000000 + -0.4888888889x + x2 = 0 + -0.2222222222 -0.4888888889x + x2 = 0 + -0.2222222222 Combine like terms: 0 + -0.2222222222 = -0.2222222222 -0.4888888889x + x2 = -0.2222222222 The x term is -0.4888888889x. Take half its coefficient (-0.2444444445). Square it (0.05975308645) and add it to both sides. Add '0.05975308645' to each side of the equation. -0.4888888889x + 0.05975308645 + x2 = -0.2222222222 + 0.05975308645 Reorder the terms: 0.05975308645 + -0.4888888889x + x2 = -0.2222222222 + 0.05975308645 Combine like terms: -0.2222222222 + 0.05975308645 = -0.16246913575 0.05975308645 + -0.4888888889x + x2 = -0.16246913575 Factor a perfect square on the left side: (x + -0.2444444445)(x + -0.2444444445) = -0.16246913575 Can't calculate square root of the right side. The solution to this equation could not be determined.
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