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Simplifying 3x2 + 3y2 + -3z2 = 0 Solving 3x2 + 3y2 + -3z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y2' to each side of the equation. 3x2 + 3y2 + -3y2 + -3z2 = 0 + -3y2 Combine like terms: 3y2 + -3y2 = 0 3x2 + 0 + -3z2 = 0 + -3y2 3x2 + -3z2 = 0 + -3y2 Remove the zero: 3x2 + -3z2 = -3y2 Add '3z2' to each side of the equation. 3x2 + -3z2 + 3z2 = -3y2 + 3z2 Combine like terms: -3z2 + 3z2 = 0 3x2 + 0 = -3y2 + 3z2 3x2 = -3y2 + 3z2 Divide each side by '3'. x2 = -1y2 + z2 Simplifying x2 = -1y2 + z2 Reorder the terms: x2 + y2 + -1z2 = -1y2 + y2 + z2 + -1z2 Combine like terms: -1y2 + y2 = 0 x2 + y2 + -1z2 = 0 + z2 + -1z2 x2 + y2 + -1z2 = z2 + -1z2 Combine like terms: z2 + -1z2 = 0 x2 + y2 + -1z2 = 0 The solution to this equation could not be determined.
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