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Simplifying 6x2 + 3y2 = 18 Solving 6x2 + 3y2 = 18 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. 6x2 + 3y2 + -3y2 = 18 + -3y2 Combine like terms: 3y2 + -3y2 = 0 6x2 + 0 = 18 + -3y2 6x2 = 18 + -3y2 Divide each side by '6'. x2 = 3 + -0.5y2 Simplifying x2 = 3 + -0.5y2 Reorder the terms: -3 + x2 + 0.5y2 = 3 + -0.5y2 + -3 + 0.5y2 Reorder the terms: -3 + x2 + 0.5y2 = 3 + -3 + -0.5y2 + 0.5y2 Combine like terms: 3 + -3 = 0 -3 + x2 + 0.5y2 = 0 + -0.5y2 + 0.5y2 -3 + x2 + 0.5y2 = -0.5y2 + 0.5y2 Combine like terms: -0.5y2 + 0.5y2 = 0.0 -3 + x2 + 0.5y2 = 0.0 The solution to this equation could not be determined.
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