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Simplifying -34 + 25x = 9x2 + 38 Reorder the terms: -34 + 25x = 38 + 9x2 Solving -34 + 25x = 38 + 9x2 Solving for variable 'x'. Reorder the terms: -34 + -38 + 25x + -9x2 = 38 + 9x2 + -38 + -9x2 Combine like terms: -34 + -38 = -72 -72 + 25x + -9x2 = 38 + 9x2 + -38 + -9x2 Reorder the terms: -72 + 25x + -9x2 = 38 + -38 + 9x2 + -9x2 Combine like terms: 38 + -38 = 0 -72 + 25x + -9x2 = 0 + 9x2 + -9x2 -72 + 25x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -72 + 25x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 8 + -2.777777778x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -2.777777778x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -2.777777778x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2.777777778x + x2 = 0 + -8 -2.777777778x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -2.777777778x + x2 = -8 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 = -8 + 1.929012346 Reorder the terms: 1.929012346 + -2.777777778x + x2 = -8 + 1.929012346 Combine like terms: -8 + 1.929012346 = -6.070987654 1.929012346 + -2.777777778x + x2 = -6.070987654 Factor a perfect square on the left side: (x + -1.388888889)(x + -1.388888889) = -6.070987654 Can't calculate square root of the right side. The solution to this equation could not be determined.
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