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Simplifying 9x2 + -25x + 60 = 0 Reorder the terms: 60 + -25x + 9x2 = 0 Solving 60 + -25x + 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'. 6.666666667 + -2.777777778x + x2 = 0 Move the constant term to the right: Add '-6.666666667' to each side of the equation. 6.666666667 + -2.777777778x + -6.666666667 + x2 = 0 + -6.666666667 Reorder the terms: 6.666666667 + -6.666666667 + -2.777777778x + x2 = 0 + -6.666666667 Combine like terms: 6.666666667 + -6.666666667 = 0.000000000 0.000000000 + -2.777777778x + x2 = 0 + -6.666666667 -2.777777778x + x2 = 0 + -6.666666667 Combine like terms: 0 + -6.666666667 = -6.666666667 -2.777777778x + x2 = -6.666666667 The x term is -2.777777778x. Take half its coefficient (-1.388888889). Square it (1.929012346) and add it to both sides. Add '1.929012346' to each side of the equation. -2.777777778x + 1.929012346 + x2 = -6.666666667 + 1.929012346 Reorder the terms: 1.929012346 + -2.777777778x + x2 = -6.666666667 + 1.929012346 Combine like terms: -6.666666667 + 1.929012346 = -4.737654321 1.929012346 + -2.777777778x + x2 = -4.737654321 Factor a perfect square on the left side: (x + -1.388888889)(x + -1.388888889) = -4.737654321 Can't calculate square root of the right side. The solution to this equation could not be determined.
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