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Simplifying 9x2 + 10y2 + 40y + -50 = 0 Reorder the terms: -50 + 9x2 + 40y + 10y2 = 0 Solving -50 + 9x2 + 40y + 10y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 9x2 + 40y + 50 + 10y2 = 0 + 50 Reorder the terms: -50 + 50 + 9x2 + 40y + 10y2 = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 9x2 + 40y + 10y2 = 0 + 50 9x2 + 40y + 10y2 = 0 + 50 Combine like terms: 0 + 50 = 50 9x2 + 40y + 10y2 = 50 Add '-40y' to each side of the equation. 9x2 + 40y + -40y + 10y2 = 50 + -40y Combine like terms: 40y + -40y = 0 9x2 + 0 + 10y2 = 50 + -40y 9x2 + 10y2 = 50 + -40y Add '-10y2' to each side of the equation. 9x2 + 10y2 + -10y2 = 50 + -40y + -10y2 Combine like terms: 10y2 + -10y2 = 0 9x2 + 0 = 50 + -40y + -10y2 9x2 = 50 + -40y + -10y2 Divide each side by '9'. x2 = 5.555555556 + -4.444444444y + -1.111111111y2 Simplifying x2 = 5.555555556 + -4.444444444y + -1.111111111y2 Reorder the terms: -5.555555556 + x2 + 4.444444444y + 1.111111111y2 = 5.555555556 + -4.444444444y + -1.111111111y2 + -5.555555556 + 4.444444444y + 1.111111111y2 Reorder the terms: -5.555555556 + x2 + 4.444444444y + 1.111111111y2 = 5.555555556 + -5.555555556 + -4.444444444y + 4.444444444y + -1.111111111y2 + 1.111111111y2 Combine like terms: 5.555555556 + -5.555555556 = 0.000000000 -5.555555556 + x2 + 4.444444444y + 1.111111111y2 = 0.000000000 + -4.444444444y + 4.444444444y + -1.111111111y2 + 1.111111111y2 -5.555555556 + x2 + 4.444444444y + 1.111111111y2 = -4.444444444y + 4.444444444y + -1.111111111y2 + 1.111111111y2 Combine like terms: -4.444444444y + 4.444444444y = 0.000000000 -5.555555556 + x2 + 4.444444444y + 1.111111111y2 = 0.000000000 + -1.111111111y2 + 1.111111111y2 -5.555555556 + x2 + 4.444444444y + 1.111111111y2 = -1.111111111y2 + 1.111111111y2 Combine like terms: -1.111111111y2 + 1.111111111y2 = 0.000000000 -5.555555556 + x2 + 4.444444444y + 1.111111111y2 = 0.000000000 The solution to this equation could not be determined.
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