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Simplifying 81x2 + 16y2 + -64y + -1232 = 0 Reorder the terms: -1232 + 81x2 + -64y + 16y2 = 0 Solving -1232 + 81x2 + -64y + 16y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1232' to each side of the equation. -1232 + 81x2 + -64y + 1232 + 16y2 = 0 + 1232 Reorder the terms: -1232 + 1232 + 81x2 + -64y + 16y2 = 0 + 1232 Combine like terms: -1232 + 1232 = 0 0 + 81x2 + -64y + 16y2 = 0 + 1232 81x2 + -64y + 16y2 = 0 + 1232 Combine like terms: 0 + 1232 = 1232 81x2 + -64y + 16y2 = 1232 Add '64y' to each side of the equation. 81x2 + -64y + 64y + 16y2 = 1232 + 64y Combine like terms: -64y + 64y = 0 81x2 + 0 + 16y2 = 1232 + 64y 81x2 + 16y2 = 1232 + 64y Add '-16y2' to each side of the equation. 81x2 + 16y2 + -16y2 = 1232 + 64y + -16y2 Combine like terms: 16y2 + -16y2 = 0 81x2 + 0 = 1232 + 64y + -16y2 81x2 = 1232 + 64y + -16y2 Divide each side by '81'. x2 = 15.20987654 + 0.7901234568y + -0.1975308642y2 Simplifying x2 = 15.20987654 + 0.7901234568y + -0.1975308642y2 Reorder the terms: -15.20987654 + x2 + -0.7901234568y + 0.1975308642y2 = 15.20987654 + 0.7901234568y + -0.1975308642y2 + -15.20987654 + -0.7901234568y + 0.1975308642y2 Reorder the terms: -15.20987654 + x2 + -0.7901234568y + 0.1975308642y2 = 15.20987654 + -15.20987654 + 0.7901234568y + -0.7901234568y + -0.1975308642y2 + 0.1975308642y2 Combine like terms: 15.20987654 + -15.20987654 = 0.00000000 -15.20987654 + x2 + -0.7901234568y + 0.1975308642y2 = 0.00000000 + 0.7901234568y + -0.7901234568y + -0.1975308642y2 + 0.1975308642y2 -15.20987654 + x2 + -0.7901234568y + 0.1975308642y2 = 0.7901234568y + -0.7901234568y + -0.1975308642y2 + 0.1975308642y2 Combine like terms: 0.7901234568y + -0.7901234568y = 0.0000000000 -15.20987654 + x2 + -0.7901234568y + 0.1975308642y2 = 0.0000000000 + -0.1975308642y2 + 0.1975308642y2 -15.20987654 + x2 + -0.7901234568y + 0.1975308642y2 = -0.1975308642y2 + 0.1975308642y2 Combine like terms: -0.1975308642y2 + 0.1975308642y2 = 0.0000000000 -15.20987654 + x2 + -0.7901234568y + 0.1975308642y2 = 0.0000000000 The solution to this equation could not be determined.
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