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Simplifying 9x2 + 16y2 + 128y + 112 = 0 Reorder the terms: 112 + 9x2 + 128y + 16y2 = 0 Solving 112 + 9x2 + 128y + 16y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112' to each side of the equation. 112 + 9x2 + 128y + -112 + 16y2 = 0 + -112 Reorder the terms: 112 + -112 + 9x2 + 128y + 16y2 = 0 + -112 Combine like terms: 112 + -112 = 0 0 + 9x2 + 128y + 16y2 = 0 + -112 9x2 + 128y + 16y2 = 0 + -112 Combine like terms: 0 + -112 = -112 9x2 + 128y + 16y2 = -112 Add '-128y' to each side of the equation. 9x2 + 128y + -128y + 16y2 = -112 + -128y Combine like terms: 128y + -128y = 0 9x2 + 0 + 16y2 = -112 + -128y 9x2 + 16y2 = -112 + -128y Add '-16y2' to each side of the equation. 9x2 + 16y2 + -16y2 = -112 + -128y + -16y2 Combine like terms: 16y2 + -16y2 = 0 9x2 + 0 = -112 + -128y + -16y2 9x2 = -112 + -128y + -16y2 Divide each side by '9'. x2 = -12.44444444 + -14.22222222y + -1.777777778y2 Simplifying x2 = -12.44444444 + -14.22222222y + -1.777777778y2 Reorder the terms: 12.44444444 + x2 + 14.22222222y + 1.777777778y2 = -12.44444444 + -14.22222222y + -1.777777778y2 + 12.44444444 + 14.22222222y + 1.777777778y2 Reorder the terms: 12.44444444 + x2 + 14.22222222y + 1.777777778y2 = -12.44444444 + 12.44444444 + -14.22222222y + 14.22222222y + -1.777777778y2 + 1.777777778y2 Combine like terms: -12.44444444 + 12.44444444 = 0.00000000 12.44444444 + x2 + 14.22222222y + 1.777777778y2 = 0.00000000 + -14.22222222y + 14.22222222y + -1.777777778y2 + 1.777777778y2 12.44444444 + x2 + 14.22222222y + 1.777777778y2 = -14.22222222y + 14.22222222y + -1.777777778y2 + 1.777777778y2 Combine like terms: -14.22222222y + 14.22222222y = 0.00000000 12.44444444 + x2 + 14.22222222y + 1.777777778y2 = 0.00000000 + -1.777777778y2 + 1.777777778y2 12.44444444 + x2 + 14.22222222y + 1.777777778y2 = -1.777777778y2 + 1.777777778y2 Combine like terms: -1.777777778y2 + 1.777777778y2 = 0.000000000 12.44444444 + x2 + 14.22222222y + 1.777777778y2 = 0.000000000 The solution to this equation could not be determined.
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