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Simplifying x2 + -6y2 + z2 = 12 Solving x2 + -6y2 + z2 = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y2' to each side of the equation. x2 + -6y2 + 6y2 + z2 = 12 + 6y2 Combine like terms: -6y2 + 6y2 = 0 x2 + 0 + z2 = 12 + 6y2 x2 + z2 = 12 + 6y2 Add '-1z2' to each side of the equation. x2 + z2 + -1z2 = 12 + 6y2 + -1z2 Combine like terms: z2 + -1z2 = 0 x2 + 0 = 12 + 6y2 + -1z2 x2 = 12 + 6y2 + -1z2 Simplifying x2 = 12 + 6y2 + -1z2 Reorder the terms: -12 + x2 + -6y2 + z2 = 12 + 6y2 + -1z2 + -12 + -6y2 + z2 Reorder the terms: -12 + x2 + -6y2 + z2 = 12 + -12 + 6y2 + -6y2 + -1z2 + z2 Combine like terms: 12 + -12 = 0 -12 + x2 + -6y2 + z2 = 0 + 6y2 + -6y2 + -1z2 + z2 -12 + x2 + -6y2 + z2 = 6y2 + -6y2 + -1z2 + z2 Combine like terms: 6y2 + -6y2 = 0 -12 + x2 + -6y2 + z2 = 0 + -1z2 + z2 -12 + x2 + -6y2 + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -12 + x2 + -6y2 + z2 = 0 The solution to this equation could not be determined.
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