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Simplifying 6x2 + 2xy3 + 2xy2 = 0 Reorder the terms: 2xy2 + 2xy3 + 6x2 = 0 Solving 2xy2 + 2xy3 + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(y2 + y3 + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(y2 + y3 + 3x)' equal to zero and attempt to solve: Simplifying y2 + y3 + 3x = 0 Reorder the terms: 3x + y2 + y3 = 0 Solving 3x + y2 + y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. 3x + y2 + -1y2 + y3 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 3x + 0 + y3 = 0 + -1y2 3x + y3 = 0 + -1y2 Remove the zero: 3x + y3 = -1y2 Add '-1y3' to each side of the equation. 3x + y3 + -1y3 = -1y2 + -1y3 Combine like terms: y3 + -1y3 = 0 3x + 0 = -1y2 + -1y3 3x = -1y2 + -1y3 Divide each side by '3'. x = -0.3333333333y2 + -0.3333333333y3 Simplifying x = -0.3333333333y2 + -0.3333333333y3Solution
x = {0, -0.3333333333y2 + -0.3333333333y3}
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