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Simplifying 4x * 4x + y * y = 96 Reorder the terms for easier multiplication: 4 * 4x * x + y * y = 96 Multiply 4 * 4 16x * x + y * y = 96 Multiply x * x 16x2 + y * y = 96 Multiply y * y 16x2 + y2 = 96 Solving 16x2 + y2 = 96 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. 16x2 + y2 + -1y2 = 96 + -1y2 Combine like terms: y2 + -1y2 = 0 16x2 + 0 = 96 + -1y2 16x2 = 96 + -1y2 Divide each side by '16'. x2 = 6 + -0.0625y2 Simplifying x2 = 6 + -0.0625y2 Reorder the terms: -6 + x2 + 0.0625y2 = 6 + -0.0625y2 + -6 + 0.0625y2 Reorder the terms: -6 + x2 + 0.0625y2 = 6 + -6 + -0.0625y2 + 0.0625y2 Combine like terms: 6 + -6 = 0 -6 + x2 + 0.0625y2 = 0 + -0.0625y2 + 0.0625y2 -6 + x2 + 0.0625y2 = -0.0625y2 + 0.0625y2 Combine like terms: -0.0625y2 + 0.0625y2 = 0.0000 -6 + x2 + 0.0625y2 = 0.0000 The solution to this equation could not be determined.
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