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Simplifying 4x2 + 6y2 = 48 Solving 4x2 + 6y2 = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y2' to each side of the equation. 4x2 + 6y2 + -6y2 = 48 + -6y2 Combine like terms: 6y2 + -6y2 = 0 4x2 + 0 = 48 + -6y2 4x2 = 48 + -6y2 Divide each side by '4'. x2 = 12 + -1.5y2 Simplifying x2 = 12 + -1.5y2 Reorder the terms: -12 + x2 + 1.5y2 = 12 + -1.5y2 + -12 + 1.5y2 Reorder the terms: -12 + x2 + 1.5y2 = 12 + -12 + -1.5y2 + 1.5y2 Combine like terms: 12 + -12 = 0 -12 + x2 + 1.5y2 = 0 + -1.5y2 + 1.5y2 -12 + x2 + 1.5y2 = -1.5y2 + 1.5y2 Combine like terms: -1.5y2 + 1.5y2 = 0.0 -12 + x2 + 1.5y2 = 0.0 The solution to this equation could not be determined.
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