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Simplifying 9x2 + -18y2 + -27z2 = 0 Solving 9x2 + -18y2 + -27z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18y2' to each side of the equation. 9x2 + -18y2 + 18y2 + -27z2 = 0 + 18y2 Combine like terms: -18y2 + 18y2 = 0 9x2 + 0 + -27z2 = 0 + 18y2 9x2 + -27z2 = 0 + 18y2 Remove the zero: 9x2 + -27z2 = 18y2 Add '27z2' to each side of the equation. 9x2 + -27z2 + 27z2 = 18y2 + 27z2 Combine like terms: -27z2 + 27z2 = 0 9x2 + 0 = 18y2 + 27z2 9x2 = 18y2 + 27z2 Divide each side by '9'. x2 = 2y2 + 3z2 Simplifying x2 = 2y2 + 3z2 Reorder the terms: x2 + -2y2 + -3z2 = 2y2 + -2y2 + 3z2 + -3z2 Combine like terms: 2y2 + -2y2 = 0 x2 + -2y2 + -3z2 = 0 + 3z2 + -3z2 x2 + -2y2 + -3z2 = 3z2 + -3z2 Combine like terms: 3z2 + -3z2 = 0 x2 + -2y2 + -3z2 = 0 The solution to this equation could not be determined.
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