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Simplifying 9x2 + 25y2 + -200y + 175 = 0 Reorder the terms: 175 + 9x2 + -200y + 25y2 = 0 Solving 175 + 9x2 + -200y + 25y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-175' to each side of the equation. 175 + 9x2 + -200y + -175 + 25y2 = 0 + -175 Reorder the terms: 175 + -175 + 9x2 + -200y + 25y2 = 0 + -175 Combine like terms: 175 + -175 = 0 0 + 9x2 + -200y + 25y2 = 0 + -175 9x2 + -200y + 25y2 = 0 + -175 Combine like terms: 0 + -175 = -175 9x2 + -200y + 25y2 = -175 Add '200y' to each side of the equation. 9x2 + -200y + 200y + 25y2 = -175 + 200y Combine like terms: -200y + 200y = 0 9x2 + 0 + 25y2 = -175 + 200y 9x2 + 25y2 = -175 + 200y Add '-25y2' to each side of the equation. 9x2 + 25y2 + -25y2 = -175 + 200y + -25y2 Combine like terms: 25y2 + -25y2 = 0 9x2 + 0 = -175 + 200y + -25y2 9x2 = -175 + 200y + -25y2 Divide each side by '9'. x2 = -19.44444444 + 22.22222222y + -2.777777778y2 Simplifying x2 = -19.44444444 + 22.22222222y + -2.777777778y2 Reorder the terms: 19.44444444 + x2 + -22.22222222y + 2.777777778y2 = -19.44444444 + 22.22222222y + -2.777777778y2 + 19.44444444 + -22.22222222y + 2.777777778y2 Reorder the terms: 19.44444444 + x2 + -22.22222222y + 2.777777778y2 = -19.44444444 + 19.44444444 + 22.22222222y + -22.22222222y + -2.777777778y2 + 2.777777778y2 Combine like terms: -19.44444444 + 19.44444444 = 0.00000000 19.44444444 + x2 + -22.22222222y + 2.777777778y2 = 0.00000000 + 22.22222222y + -22.22222222y + -2.777777778y2 + 2.777777778y2 19.44444444 + x2 + -22.22222222y + 2.777777778y2 = 22.22222222y + -22.22222222y + -2.777777778y2 + 2.777777778y2 Combine like terms: 22.22222222y + -22.22222222y = 0.00000000 19.44444444 + x2 + -22.22222222y + 2.777777778y2 = 0.00000000 + -2.777777778y2 + 2.777777778y2 19.44444444 + x2 + -22.22222222y + 2.777777778y2 = -2.777777778y2 + 2.777777778y2 Combine like terms: -2.777777778y2 + 2.777777778y2 = 0.000000000 19.44444444 + x2 + -22.22222222y + 2.777777778y2 = 0.000000000 The solution to this equation could not be determined.
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