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Simplifying 3x2 + y + 3z2 = 0 Solving 3x2 + y + 3z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 3x2 + y + -1y + 3z2 = 0 + -1y Combine like terms: y + -1y = 0 3x2 + 0 + 3z2 = 0 + -1y 3x2 + 3z2 = 0 + -1y Remove the zero: 3x2 + 3z2 = -1y Add '-3z2' to each side of the equation. 3x2 + 3z2 + -3z2 = -1y + -3z2 Combine like terms: 3z2 + -3z2 = 0 3x2 + 0 = -1y + -3z2 3x2 = -1y + -3z2 Divide each side by '3'. x2 = -0.3333333333y + -1z2 Simplifying x2 = -0.3333333333y + -1z2 Reorder the terms: x2 + 0.3333333333y + z2 = -0.3333333333y + 0.3333333333y + -1z2 + z2 Combine like terms: -0.3333333333y + 0.3333333333y = 0.0000000000 x2 + 0.3333333333y + z2 = 0.0000000000 + -1z2 + z2 x2 + 0.3333333333y + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 x2 + 0.3333333333y + z2 = 0 The solution to this equation could not be determined.
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