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Simplifying 9x2 + 4y2 + -32y + 28 = 0 Reorder the terms: 28 + 9x2 + -32y + 4y2 = 0 Solving 28 + 9x2 + -32y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + 9x2 + -32y + -28 + 4y2 = 0 + -28 Reorder the terms: 28 + -28 + 9x2 + -32y + 4y2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 9x2 + -32y + 4y2 = 0 + -28 9x2 + -32y + 4y2 = 0 + -28 Combine like terms: 0 + -28 = -28 9x2 + -32y + 4y2 = -28 Add '32y' to each side of the equation. 9x2 + -32y + 32y + 4y2 = -28 + 32y Combine like terms: -32y + 32y = 0 9x2 + 0 + 4y2 = -28 + 32y 9x2 + 4y2 = -28 + 32y Add '-4y2' to each side of the equation. 9x2 + 4y2 + -4y2 = -28 + 32y + -4y2 Combine like terms: 4y2 + -4y2 = 0 9x2 + 0 = -28 + 32y + -4y2 9x2 = -28 + 32y + -4y2 Divide each side by '9'. x2 = -3.111111111 + 3.555555556y + -0.4444444444y2 Simplifying x2 = -3.111111111 + 3.555555556y + -0.4444444444y2 Reorder the terms: 3.111111111 + x2 + -3.555555556y + 0.4444444444y2 = -3.111111111 + 3.555555556y + -0.4444444444y2 + 3.111111111 + -3.555555556y + 0.4444444444y2 Reorder the terms: 3.111111111 + x2 + -3.555555556y + 0.4444444444y2 = -3.111111111 + 3.111111111 + 3.555555556y + -3.555555556y + -0.4444444444y2 + 0.4444444444y2 Combine like terms: -3.111111111 + 3.111111111 = 0.000000000 3.111111111 + x2 + -3.555555556y + 0.4444444444y2 = 0.000000000 + 3.555555556y + -3.555555556y + -0.4444444444y2 + 0.4444444444y2 3.111111111 + x2 + -3.555555556y + 0.4444444444y2 = 3.555555556y + -3.555555556y + -0.4444444444y2 + 0.4444444444y2 Combine like terms: 3.555555556y + -3.555555556y = 0.000000000 3.111111111 + x2 + -3.555555556y + 0.4444444444y2 = 0.000000000 + -0.4444444444y2 + 0.4444444444y2 3.111111111 + x2 + -3.555555556y + 0.4444444444y2 = -0.4444444444y2 + 0.4444444444y2 Combine like terms: -0.4444444444y2 + 0.4444444444y2 = 0.0000000000 3.111111111 + x2 + -3.555555556y + 0.4444444444y2 = 0.0000000000 The solution to this equation could not be determined.
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