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Simplifying 2x2 + 3y2 = 16 Solving 2x2 + 3y2 = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y2' to each side of the equation. 2x2 + 3y2 + -3y2 = 16 + -3y2 Combine like terms: 3y2 + -3y2 = 0 2x2 + 0 = 16 + -3y2 2x2 = 16 + -3y2 Divide each side by '2'. x2 = 8 + -1.5y2 Simplifying x2 = 8 + -1.5y2 Reorder the terms: -8 + x2 + 1.5y2 = 8 + -1.5y2 + -8 + 1.5y2 Reorder the terms: -8 + x2 + 1.5y2 = 8 + -8 + -1.5y2 + 1.5y2 Combine like terms: 8 + -8 = 0 -8 + x2 + 1.5y2 = 0 + -1.5y2 + 1.5y2 -8 + x2 + 1.5y2 = -1.5y2 + 1.5y2 Combine like terms: -1.5y2 + 1.5y2 = 0.0 -8 + x2 + 1.5y2 = 0.0 The solution to this equation could not be determined.
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