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Simplifying x3y2 + 4x2y + -12x = 0 Reorder the terms: -12x + 4x2y + x3y2 = 0 Solving -12x + 4x2y + x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-12 + 4xy + x2y2) = 0 Factor a trinomial. x((-6 + -1xy)(2 + -1xy)) = 0Subproblem 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 '(-6 + -1xy)' equal to zero and attempt to solve: Simplifying -6 + -1xy = 0 Solving -6 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1xy = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1xy = 0 + 6 -1xy = 0 + 6 Combine like terms: 0 + 6 = 6 -1xy = 6 Divide each side by '-1y'. x = -6y-1 Simplifying x = -6y-1Subproblem 3
Set the factor '(2 + -1xy)' equal to zero and attempt to solve: Simplifying 2 + -1xy = 0 Solving 2 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1xy = 0 + -2 -1xy = 0 + -2 Combine like terms: 0 + -2 = -2 -1xy = -2 Divide each side by '-1y'. x = 2y-1 Simplifying x = 2y-1Solution
x = {0, -6y-1, 2y-1}
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