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Simplifying 4x2 + 5y2 = 20 Solving 4x2 + 5y2 = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y2' to each side of the equation. 4x2 + 5y2 + -5y2 = 20 + -5y2 Combine like terms: 5y2 + -5y2 = 0 4x2 + 0 = 20 + -5y2 4x2 = 20 + -5y2 Divide each side by '4'. x2 = 5 + -1.25y2 Simplifying x2 = 5 + -1.25y2 Reorder the terms: -5 + x2 + 1.25y2 = 5 + -1.25y2 + -5 + 1.25y2 Reorder the terms: -5 + x2 + 1.25y2 = 5 + -5 + -1.25y2 + 1.25y2 Combine like terms: 5 + -5 = 0 -5 + x2 + 1.25y2 = 0 + -1.25y2 + 1.25y2 -5 + x2 + 1.25y2 = -1.25y2 + 1.25y2 Combine like terms: -1.25y2 + 1.25y2 = 0.00 -5 + x2 + 1.25y2 = 0.00 The solution to this equation could not be determined.
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