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Simplifying (4x * 4x) + (3y * 3y) = 2500 Reorder the terms for easier multiplication: (4 * 4x * x) + (3y * 3y) = 2500 Multiply 4 * 4 (16x * x) + (3y * 3y) = 2500 Multiply x * x (16x2) + (3y * 3y) = 2500 Reorder the terms for easier multiplication: (16x2) + (3 * 3y * y) = 2500 Multiply 3 * 3 (16x2) + (9y * y) = 2500 Multiply y * y (16x2) + (9y2) = 2500 Solving (16x2) + (9y2) = 2500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-9y2)' to each side of the equation. (16x2) + (9y2) + (-9y2) = 2500 + (-9y2) Combine like terms: (9y2) + (-9y2) = 0 (16x2) + 0 = 2500 + (-9y2) (16x2) = 2500 + (-9y2) Divide each side by '16'. x2 = 156.25 + (-0.5625y2) Simplifying x2 = 156.25 + (-0.5625y2) Reorder the terms: -156.25 + x2 + (0.5625y2) = 156.25 + (-0.5625y2) + -156.25 + (0.5625y2) Reorder the terms: -156.25 + x2 + (0.5625y2) = 156.25 + -156.25 + (-0.5625y2) + (0.5625y2) Combine like terms: 156.25 + -156.25 = 0.00 -156.25 + x2 + (0.5625y2) = 0.00 + (-0.5625y2) + (0.5625y2) -156.25 + x2 + (0.5625y2) = (-0.5625y2) + (0.5625y2) Combine like terms: (-0.5625y2) + (0.5625y2) = 0.0000 -156.25 + x2 + (0.5625y2) = 0.0000 The solution to this equation could not be determined.
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