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Simplifying 9x2 + 4y2 + 9z2 = 0 Solving 9x2 + 4y2 + 9z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y2' to each side of the equation. 9x2 + 4y2 + -4y2 + 9z2 = 0 + -4y2 Combine like terms: 4y2 + -4y2 = 0 9x2 + 0 + 9z2 = 0 + -4y2 9x2 + 9z2 = 0 + -4y2 Remove the zero: 9x2 + 9z2 = -4y2 Add '-9z2' to each side of the equation. 9x2 + 9z2 + -9z2 = -4y2 + -9z2 Combine like terms: 9z2 + -9z2 = 0 9x2 + 0 = -4y2 + -9z2 9x2 = -4y2 + -9z2 Divide each side by '9'. x2 = -0.4444444444y2 + -1z2 Simplifying x2 = -0.4444444444y2 + -1z2 Reorder the terms: x2 + 0.4444444444y2 + z2 = -0.4444444444y2 + 0.4444444444y2 + -1z2 + z2 Combine like terms: -0.4444444444y2 + 0.4444444444y2 = 0.0000000000 x2 + 0.4444444444y2 + z2 = 0.0000000000 + -1z2 + z2 x2 + 0.4444444444y2 + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 x2 + 0.4444444444y2 + z2 = 0 The solution to this equation could not be determined.
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