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Simplifying 9x2 + 4y2 + 16y + -20 = 0 Reorder the terms: -20 + 9x2 + 16y + 4y2 = 0 Solving -20 + 9x2 + 16y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 9x2 + 16y + 20 + 4y2 = 0 + 20 Reorder the terms: -20 + 20 + 9x2 + 16y + 4y2 = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 9x2 + 16y + 4y2 = 0 + 20 9x2 + 16y + 4y2 = 0 + 20 Combine like terms: 0 + 20 = 20 9x2 + 16y + 4y2 = 20 Add '-16y' to each side of the equation. 9x2 + 16y + -16y + 4y2 = 20 + -16y Combine like terms: 16y + -16y = 0 9x2 + 0 + 4y2 = 20 + -16y 9x2 + 4y2 = 20 + -16y Add '-4y2' to each side of the equation. 9x2 + 4y2 + -4y2 = 20 + -16y + -4y2 Combine like terms: 4y2 + -4y2 = 0 9x2 + 0 = 20 + -16y + -4y2 9x2 = 20 + -16y + -4y2 Divide each side by '9'. x2 = 2.222222222 + -1.777777778y + -0.4444444444y2 Simplifying x2 = 2.222222222 + -1.777777778y + -0.4444444444y2 Reorder the terms: -2.222222222 + x2 + 1.777777778y + 0.4444444444y2 = 2.222222222 + -1.777777778y + -0.4444444444y2 + -2.222222222 + 1.777777778y + 0.4444444444y2 Reorder the terms: -2.222222222 + x2 + 1.777777778y + 0.4444444444y2 = 2.222222222 + -2.222222222 + -1.777777778y + 1.777777778y + -0.4444444444y2 + 0.4444444444y2 Combine like terms: 2.222222222 + -2.222222222 = 0.000000000 -2.222222222 + x2 + 1.777777778y + 0.4444444444y2 = 0.000000000 + -1.777777778y + 1.777777778y + -0.4444444444y2 + 0.4444444444y2 -2.222222222 + x2 + 1.777777778y + 0.4444444444y2 = -1.777777778y + 1.777777778y + -0.4444444444y2 + 0.4444444444y2 Combine like terms: -1.777777778y + 1.777777778y = 0.000000000 -2.222222222 + x2 + 1.777777778y + 0.4444444444y2 = 0.000000000 + -0.4444444444y2 + 0.4444444444y2 -2.222222222 + x2 + 1.777777778y + 0.4444444444y2 = -0.4444444444y2 + 0.4444444444y2 Combine like terms: -0.4444444444y2 + 0.4444444444y2 = 0.0000000000 -2.222222222 + x2 + 1.777777778y + 0.4444444444y2 = 0.0000000000 The solution to this equation could not be determined.
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