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Simplifying 3x2 + -2y2 + 3z2 = 0 Solving 3x2 + -2y2 + 3z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y2' to each side of the equation. 3x2 + -2y2 + 2y2 + 3z2 = 0 + 2y2 Combine like terms: -2y2 + 2y2 = 0 3x2 + 0 + 3z2 = 0 + 2y2 3x2 + 3z2 = 0 + 2y2 Remove the zero: 3x2 + 3z2 = 2y2 Add '-3z2' to each side of the equation. 3x2 + 3z2 + -3z2 = 2y2 + -3z2 Combine like terms: 3z2 + -3z2 = 0 3x2 + 0 = 2y2 + -3z2 3x2 = 2y2 + -3z2 Divide each side by '3'. x2 = 0.6666666667y2 + -1z2 Simplifying x2 = 0.6666666667y2 + -1z2 Reorder the terms: x2 + -0.6666666667y2 + z2 = 0.6666666667y2 + -0.6666666667y2 + -1z2 + z2 Combine like terms: 0.6666666667y2 + -0.6666666667y2 = 0.0000000000 x2 + -0.6666666667y2 + z2 = 0.0000000000 + -1z2 + z2 x2 + -0.6666666667y2 + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 x2 + -0.6666666667y2 + z2 = 0 The solution to this equation could not be determined.
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