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Simplifying 6x2 + 12y2 = 150 Solving 6x2 + 12y2 = 150 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y2' to each side of the equation. 6x2 + 12y2 + -12y2 = 150 + -12y2 Combine like terms: 12y2 + -12y2 = 0 6x2 + 0 = 150 + -12y2 6x2 = 150 + -12y2 Divide each side by '6'. x2 = 25 + -2y2 Simplifying x2 = 25 + -2y2 Reorder the terms: -25 + x2 + 2y2 = 25 + -2y2 + -25 + 2y2 Reorder the terms: -25 + x2 + 2y2 = 25 + -25 + -2y2 + 2y2 Combine like terms: 25 + -25 = 0 -25 + x2 + 2y2 = 0 + -2y2 + 2y2 -25 + x2 + 2y2 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 -25 + x2 + 2y2 = 0 The solution to this equation could not be determined.
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