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Simplifying 2x2 + 3y2 + -8 + 30y + 77 = 0 Reorder the terms: -8 + 77 + 2x2 + 30y + 3y2 = 0 Combine like terms: -8 + 77 = 69 69 + 2x2 + 30y + 3y2 = 0 Solving 69 + 2x2 + 30y + 3y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + 2x2 + 30y + -69 + 3y2 = 0 + -69 Reorder the terms: 69 + -69 + 2x2 + 30y + 3y2 = 0 + -69 Combine like terms: 69 + -69 = 0 0 + 2x2 + 30y + 3y2 = 0 + -69 2x2 + 30y + 3y2 = 0 + -69 Combine like terms: 0 + -69 = -69 2x2 + 30y + 3y2 = -69 Add '-30y' to each side of the equation. 2x2 + 30y + -30y + 3y2 = -69 + -30y Combine like terms: 30y + -30y = 0 2x2 + 0 + 3y2 = -69 + -30y 2x2 + 3y2 = -69 + -30y Add '-3y2' to each side of the equation. 2x2 + 3y2 + -3y2 = -69 + -30y + -3y2 Combine like terms: 3y2 + -3y2 = 0 2x2 + 0 = -69 + -30y + -3y2 2x2 = -69 + -30y + -3y2 Divide each side by '2'. x2 = -34.5 + -15y + -1.5y2 Simplifying x2 = -34.5 + -15y + -1.5y2 Reorder the terms: 34.5 + x2 + 15y + 1.5y2 = -34.5 + -15y + -1.5y2 + 34.5 + 15y + 1.5y2 Reorder the terms: 34.5 + x2 + 15y + 1.5y2 = -34.5 + 34.5 + -15y + 15y + -1.5y2 + 1.5y2 Combine like terms: -34.5 + 34.5 = 0.0 34.5 + x2 + 15y + 1.5y2 = 0.0 + -15y + 15y + -1.5y2 + 1.5y2 34.5 + x2 + 15y + 1.5y2 = -15y + 15y + -1.5y2 + 1.5y2 Combine like terms: -15y + 15y = 0 34.5 + x2 + 15y + 1.5y2 = 0 + -1.5y2 + 1.5y2 34.5 + x2 + 15y + 1.5y2 = -1.5y2 + 1.5y2 Combine like terms: -1.5y2 + 1.5y2 = 0.0 34.5 + x2 + 15y + 1.5y2 = 0.0 The solution to this equation could not be determined.
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