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Simplifying 5x + 9 = 9x2 + -34x + 289 Reorder the terms: 9 + 5x = 9x2 + -34x + 289 Reorder the terms: 9 + 5x = 289 + -34x + 9x2 Solving 9 + 5x = 289 + -34x + 9x2 Solving for variable 'x'. Reorder the terms: 9 + -289 + 5x + 34x + -9x2 = 289 + -34x + 9x2 + -289 + 34x + -9x2 Combine like terms: 9 + -289 = -280 -280 + 5x + 34x + -9x2 = 289 + -34x + 9x2 + -289 + 34x + -9x2 Combine like terms: 5x + 34x = 39x -280 + 39x + -9x2 = 289 + -34x + 9x2 + -289 + 34x + -9x2 Reorder the terms: -280 + 39x + -9x2 = 289 + -289 + -34x + 34x + 9x2 + -9x2 Combine like terms: 289 + -289 = 0 -280 + 39x + -9x2 = 0 + -34x + 34x + 9x2 + -9x2 -280 + 39x + -9x2 = -34x + 34x + 9x2 + -9x2 Combine like terms: -34x + 34x = 0 -280 + 39x + -9x2 = 0 + 9x2 + -9x2 -280 + 39x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -280 + 39x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 31.11111111 + -4.333333333x + x2 = 0 Move the constant term to the right: Add '-31.11111111' to each side of the equation. 31.11111111 + -4.333333333x + -31.11111111 + x2 = 0 + -31.11111111 Reorder the terms: 31.11111111 + -31.11111111 + -4.333333333x + x2 = 0 + -31.11111111 Combine like terms: 31.11111111 + -31.11111111 = 0.00000000 0.00000000 + -4.333333333x + x2 = 0 + -31.11111111 -4.333333333x + x2 = 0 + -31.11111111 Combine like terms: 0 + -31.11111111 = -31.11111111 -4.333333333x + x2 = -31.11111111 The x term is -4.333333333x. Take half its coefficient (-2.166666667). Square it (4.694444446) and add it to both sides. Add '4.694444446' to each side of the equation. -4.333333333x + 4.694444446 + x2 = -31.11111111 + 4.694444446 Reorder the terms: 4.694444446 + -4.333333333x + x2 = -31.11111111 + 4.694444446 Combine like terms: -31.11111111 + 4.694444446 = -26.416666664 4.694444446 + -4.333333333x + x2 = -26.416666664 Factor a perfect square on the left side: (x + -2.166666667)(x + -2.166666667) = -26.416666664 Can't calculate square root of the right side. The solution to this equation could not be determined.
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