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Simplifying 5x2 + 2y2 = 50 Solving 5x2 + 2y2 = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y2' to each side of the equation. 5x2 + 2y2 + -2y2 = 50 + -2y2 Combine like terms: 2y2 + -2y2 = 0 5x2 + 0 = 50 + -2y2 5x2 = 50 + -2y2 Divide each side by '5'. x2 = 10 + -0.4y2 Simplifying x2 = 10 + -0.4y2 Reorder the terms: -10 + x2 + 0.4y2 = 10 + -0.4y2 + -10 + 0.4y2 Reorder the terms: -10 + x2 + 0.4y2 = 10 + -10 + -0.4y2 + 0.4y2 Combine like terms: 10 + -10 = 0 -10 + x2 + 0.4y2 = 0 + -0.4y2 + 0.4y2 -10 + x2 + 0.4y2 = -0.4y2 + 0.4y2 Combine like terms: -0.4y2 + 0.4y2 = 0.0 -10 + x2 + 0.4y2 = 0.0 The solution to this equation could not be determined.
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