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Simplifying -12y2 + -18x2 + 20y3 = 0 Reorder the terms: -18x2 + -12y2 + 20y3 = 0 Solving -18x2 + -12y2 + 20y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12y2' to each side of the equation. -18x2 + -12y2 + 12y2 + 20y3 = 0 + 12y2 Combine like terms: -12y2 + 12y2 = 0 -18x2 + 0 + 20y3 = 0 + 12y2 -18x2 + 20y3 = 0 + 12y2 Remove the zero: -18x2 + 20y3 = 12y2 Add '-20y3' to each side of the equation. -18x2 + 20y3 + -20y3 = 12y2 + -20y3 Combine like terms: 20y3 + -20y3 = 0 -18x2 + 0 = 12y2 + -20y3 -18x2 = 12y2 + -20y3 Divide each side by '-18'. x2 = -0.6666666667y2 + 1.111111111y3 Simplifying x2 = -0.6666666667y2 + 1.111111111y3 Reorder the terms: x2 + 0.6666666667y2 + -1.111111111y3 = -0.6666666667y2 + 0.6666666667y2 + 1.111111111y3 + -1.111111111y3 Combine like terms: -0.6666666667y2 + 0.6666666667y2 = 0.0000000000 x2 + 0.6666666667y2 + -1.111111111y3 = 0.0000000000 + 1.111111111y3 + -1.111111111y3 x2 + 0.6666666667y2 + -1.111111111y3 = 1.111111111y3 + -1.111111111y3 Combine like terms: 1.111111111y3 + -1.111111111y3 = 0.000000000 x2 + 0.6666666667y2 + -1.111111111y3 = 0.000000000 The solution to this equation could not be determined.
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