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Simplifying 9x2 + 4y2 + 40y + 64 = 0 Reorder the terms: 64 + 9x2 + 40y + 4y2 = 0 Solving 64 + 9x2 + 40y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + 9x2 + 40y + -64 + 4y2 = 0 + -64 Reorder the terms: 64 + -64 + 9x2 + 40y + 4y2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 9x2 + 40y + 4y2 = 0 + -64 9x2 + 40y + 4y2 = 0 + -64 Combine like terms: 0 + -64 = -64 9x2 + 40y + 4y2 = -64 Add '-40y' to each side of the equation. 9x2 + 40y + -40y + 4y2 = -64 + -40y Combine like terms: 40y + -40y = 0 9x2 + 0 + 4y2 = -64 + -40y 9x2 + 4y2 = -64 + -40y Add '-4y2' to each side of the equation. 9x2 + 4y2 + -4y2 = -64 + -40y + -4y2 Combine like terms: 4y2 + -4y2 = 0 9x2 + 0 = -64 + -40y + -4y2 9x2 = -64 + -40y + -4y2 Divide each side by '9'. x2 = -7.111111111 + -4.444444444y + -0.4444444444y2 Simplifying x2 = -7.111111111 + -4.444444444y + -0.4444444444y2 Reorder the terms: 7.111111111 + x2 + 4.444444444y + 0.4444444444y2 = -7.111111111 + -4.444444444y + -0.4444444444y2 + 7.111111111 + 4.444444444y + 0.4444444444y2 Reorder the terms: 7.111111111 + x2 + 4.444444444y + 0.4444444444y2 = -7.111111111 + 7.111111111 + -4.444444444y + 4.444444444y + -0.4444444444y2 + 0.4444444444y2 Combine like terms: -7.111111111 + 7.111111111 = 0.000000000 7.111111111 + x2 + 4.444444444y + 0.4444444444y2 = 0.000000000 + -4.444444444y + 4.444444444y + -0.4444444444y2 + 0.4444444444y2 7.111111111 + x2 + 4.444444444y + 0.4444444444y2 = -4.444444444y + 4.444444444y + -0.4444444444y2 + 0.4444444444y2 Combine like terms: -4.444444444y + 4.444444444y = 0.000000000 7.111111111 + x2 + 4.444444444y + 0.4444444444y2 = 0.000000000 + -0.4444444444y2 + 0.4444444444y2 7.111111111 + x2 + 4.444444444y + 0.4444444444y2 = -0.4444444444y2 + 0.4444444444y2 Combine like terms: -0.4444444444y2 + 0.4444444444y2 = 0.0000000000 7.111111111 + x2 + 4.444444444y + 0.4444444444y2 = 0.0000000000 The solution to this equation could not be determined.
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