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Simplifying 6y2 + -2x2 + 3y3 = 0 Reorder the terms: -2x2 + 6y2 + 3y3 = 0 Solving -2x2 + 6y2 + 3y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y2' to each side of the equation. -2x2 + 6y2 + -6y2 + 3y3 = 0 + -6y2 Combine like terms: 6y2 + -6y2 = 0 -2x2 + 0 + 3y3 = 0 + -6y2 -2x2 + 3y3 = 0 + -6y2 Remove the zero: -2x2 + 3y3 = -6y2 Add '-3y3' to each side of the equation. -2x2 + 3y3 + -3y3 = -6y2 + -3y3 Combine like terms: 3y3 + -3y3 = 0 -2x2 + 0 = -6y2 + -3y3 -2x2 = -6y2 + -3y3 Divide each side by '-2'. x2 = 3y2 + 1.5y3 Simplifying x2 = 3y2 + 1.5y3 Reorder the terms: x2 + -3y2 + -1.5y3 = 3y2 + -3y2 + 1.5y3 + -1.5y3 Combine like terms: 3y2 + -3y2 = 0 x2 + -3y2 + -1.5y3 = 0 + 1.5y3 + -1.5y3 x2 + -3y2 + -1.5y3 = 1.5y3 + -1.5y3 Combine like terms: 1.5y3 + -1.5y3 = 0.0 x2 + -3y2 + -1.5y3 = 0.0 The solution to this equation could not be determined.
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