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Simplifying 16x2 + y2 + z2 = 16 Solving 16x2 + y2 + z2 = 16 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 + z2 = 16 + -1y2 Combine like terms: y2 + -1y2 = 0 16x2 + 0 + z2 = 16 + -1y2 16x2 + z2 = 16 + -1y2 Add '-1z2' to each side of the equation. 16x2 + z2 + -1z2 = 16 + -1y2 + -1z2 Combine like terms: z2 + -1z2 = 0 16x2 + 0 = 16 + -1y2 + -1z2 16x2 = 16 + -1y2 + -1z2 Divide each side by '16'. x2 = 1 + -0.0625y2 + -0.0625z2 Simplifying x2 = 1 + -0.0625y2 + -0.0625z2 Reorder the terms: -1 + x2 + 0.0625y2 + 0.0625z2 = 1 + -0.0625y2 + -0.0625z2 + -1 + 0.0625y2 + 0.0625z2 Reorder the terms: -1 + x2 + 0.0625y2 + 0.0625z2 = 1 + -1 + -0.0625y2 + 0.0625y2 + -0.0625z2 + 0.0625z2 Combine like terms: 1 + -1 = 0 -1 + x2 + 0.0625y2 + 0.0625z2 = 0 + -0.0625y2 + 0.0625y2 + -0.0625z2 + 0.0625z2 -1 + x2 + 0.0625y2 + 0.0625z2 = -0.0625y2 + 0.0625y2 + -0.0625z2 + 0.0625z2 Combine like terms: -0.0625y2 + 0.0625y2 = 0.0000 -1 + x2 + 0.0625y2 + 0.0625z2 = 0.0000 + -0.0625z2 + 0.0625z2 -1 + x2 + 0.0625y2 + 0.0625z2 = -0.0625z2 + 0.0625z2 Combine like terms: -0.0625z2 + 0.0625z2 = 0.0000 -1 + x2 + 0.0625y2 + 0.0625z2 = 0.0000 The solution to this equation could not be determined.
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