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Simplifying 2x2 + 3y2 + 6z24 = 0 Solving 2x2 + 3y2 + 6z24 = 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. 2x2 + 3y2 + -3y2 + 6z24 = 0 + -3y2 Combine like terms: 3y2 + -3y2 = 0 2x2 + 0 + 6z24 = 0 + -3y2 2x2 + 6z24 = 0 + -3y2 Remove the zero: 2x2 + 6z24 = -3y2 Add '-6z24' to each side of the equation. 2x2 + 6z24 + -6z24 = -3y2 + -6z24 Combine like terms: 6z24 + -6z24 = 0 2x2 + 0 = -3y2 + -6z24 2x2 = -3y2 + -6z24 Divide each side by '2'. x2 = -1.5y2 + -3z24 Simplifying x2 = -1.5y2 + -3z24 Reorder the terms: x2 + 1.5y2 + 3z24 = -1.5y2 + 1.5y2 + -3z24 + 3z24 Combine like terms: -1.5y2 + 1.5y2 = 0.0 x2 + 1.5y2 + 3z24 = 0.0 + -3z24 + 3z24 x2 + 1.5y2 + 3z24 = -3z24 + 3z24 Combine like terms: -3z24 + 3z24 = 0 x2 + 1.5y2 + 3z24 = 0 The solution to this equation could not be determined.
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