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Simplifying 3x3y + 3x2 + -9x2y = 0 Reorder the terms: 3x2 + -9x2y + 3x3y = 0 Solving 3x2 + -9x2y + 3x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(1 + -3y + xy) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(1 + -3y + xy)' equal to zero and attempt to solve: Simplifying 1 + -3y + xy = 0 Reorder the terms: 1 + xy + -3y = 0 Solving 1 + xy + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + xy + -1 + -3y = 0 + -1 Reorder the terms: 1 + -1 + xy + -3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + xy + -3y = 0 + -1 xy + -3y = 0 + -1 Combine like terms: 0 + -1 = -1 xy + -3y = -1 Add '3y' to each side of the equation. xy + -3y + 3y = -1 + 3y Combine like terms: -3y + 3y = 0 xy + 0 = -1 + 3y xy = -1 + 3y Divide each side by 'y'. x = -1y-1 + 3 Simplifying x = -1y-1 + 3 Reorder the terms: x = 3 + -1y-1Solution
x = {0, 3 + -1y-1}
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