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Simplifying 5x2 + y2 = 45 Solving 5x2 + y2 = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. 5x2 + y2 + -1y2 = 45 + -1y2 Combine like terms: y2 + -1y2 = 0 5x2 + 0 = 45 + -1y2 5x2 = 45 + -1y2 Divide each side by '5'. x2 = 9 + -0.2y2 Simplifying x2 = 9 + -0.2y2 Reorder the terms: -9 + x2 + 0.2y2 = 9 + -0.2y2 + -9 + 0.2y2 Reorder the terms: -9 + x2 + 0.2y2 = 9 + -9 + -0.2y2 + 0.2y2 Combine like terms: 9 + -9 = 0 -9 + x2 + 0.2y2 = 0 + -0.2y2 + 0.2y2 -9 + x2 + 0.2y2 = -0.2y2 + 0.2y2 Combine like terms: -0.2y2 + 0.2y2 = 0.0 -9 + x2 + 0.2y2 = 0.0 The solution to this equation could not be determined.
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