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Simplifying 16x2 + -1y2 + -6yz + -9z2 = 0 Reorder the terms: 16x2 + -6yz + -1y2 + -9z2 = 0 Solving 16x2 + -6yz + -1y2 + -9z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6yz' to each side of the equation. 16x2 + -6yz + -1y2 + 6yz + -9z2 = 0 + 6yz Reorder the terms: 16x2 + -6yz + 6yz + -1y2 + -9z2 = 0 + 6yz Combine like terms: -6yz + 6yz = 0 16x2 + 0 + -1y2 + -9z2 = 0 + 6yz 16x2 + -1y2 + -9z2 = 0 + 6yz Remove the zero: 16x2 + -1y2 + -9z2 = 6yz Add 'y2' to each side of the equation. 16x2 + -1y2 + y2 + -9z2 = 6yz + y2 Combine like terms: -1y2 + y2 = 0 16x2 + 0 + -9z2 = 6yz + y2 16x2 + -9z2 = 6yz + y2 Add '9z2' to each side of the equation. 16x2 + -9z2 + 9z2 = 6yz + y2 + 9z2 Combine like terms: -9z2 + 9z2 = 0 16x2 + 0 = 6yz + y2 + 9z2 16x2 = 6yz + y2 + 9z2 Divide each side by '16'. x2 = 0.375yz + 0.0625y2 + 0.5625z2 Simplifying x2 = 0.375yz + 0.0625y2 + 0.5625z2 Reorder the terms: x2 + -0.375yz + -0.0625y2 + -0.5625z2 = 0.375yz + -0.375yz + 0.0625y2 + -0.0625y2 + 0.5625z2 + -0.5625z2 Combine like terms: 0.375yz + -0.375yz = 0.000 x2 + -0.375yz + -0.0625y2 + -0.5625z2 = 0.000 + 0.0625y2 + -0.0625y2 + 0.5625z2 + -0.5625z2 x2 + -0.375yz + -0.0625y2 + -0.5625z2 = 0.0625y2 + -0.0625y2 + 0.5625z2 + -0.5625z2 Combine like terms: 0.0625y2 + -0.0625y2 = 0.0000 x2 + -0.375yz + -0.0625y2 + -0.5625z2 = 0.0000 + 0.5625z2 + -0.5625z2 x2 + -0.375yz + -0.0625y2 + -0.5625z2 = 0.5625z2 + -0.5625z2 Combine like terms: 0.5625z2 + -0.5625z2 = 0.0000 x2 + -0.375yz + -0.0625y2 + -0.5625z2 = 0.0000 The solution to this equation could not be determined.
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