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Simplifying x2 + y2 + 5z2 + 6yz = 0 Reorder the terms: x2 + 6yz + y2 + 5z2 = 0 Solving x2 + 6yz + y2 + 5z2 = 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. x2 + 6yz + y2 + -6yz + 5z2 = 0 + -6yz Reorder the terms: x2 + 6yz + -6yz + y2 + 5z2 = 0 + -6yz Combine like terms: 6yz + -6yz = 0 x2 + 0 + y2 + 5z2 = 0 + -6yz x2 + y2 + 5z2 = 0 + -6yz Remove the zero: x2 + y2 + 5z2 = -6yz Add '-1y2' to each side of the equation. x2 + y2 + -1y2 + 5z2 = -6yz + -1y2 Combine like terms: y2 + -1y2 = 0 x2 + 0 + 5z2 = -6yz + -1y2 x2 + 5z2 = -6yz + -1y2 Add '-5z2' to each side of the equation. x2 + 5z2 + -5z2 = -6yz + -1y2 + -5z2 Combine like terms: 5z2 + -5z2 = 0 x2 + 0 = -6yz + -1y2 + -5z2 x2 = -6yz + -1y2 + -5z2 Simplifying x2 = -6yz + -1y2 + -5z2 Reorder the terms: x2 + 6yz + y2 + 5z2 = -6yz + 6yz + -1y2 + y2 + -5z2 + 5z2 Combine like terms: -6yz + 6yz = 0 x2 + 6yz + y2 + 5z2 = 0 + -1y2 + y2 + -5z2 + 5z2 x2 + 6yz + y2 + 5z2 = -1y2 + y2 + -5z2 + 5z2 Combine like terms: -1y2 + y2 = 0 x2 + 6yz + y2 + 5z2 = 0 + -5z2 + 5z2 x2 + 6yz + y2 + 5z2 = -5z2 + 5z2 Combine like terms: -5z2 + 5z2 = 0 x2 + 6yz + y2 + 5z2 = 0 The solution to this equation could not be determined.
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