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Simplifying x3y2 + x2y + -110x = 0 Reorder the terms: -110x + x2y + x3y2 = 0 Solving -110x + x2y + x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-110 + xy + x2y2) = 0 Factor a trinomial. x((-11 + -1xy)(10 + -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 '(-11 + -1xy)' equal to zero and attempt to solve: Simplifying -11 + -1xy = 0 Solving -11 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1xy = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1xy = 0 + 11 -1xy = 0 + 11 Combine like terms: 0 + 11 = 11 -1xy = 11 Divide each side by '-1y'. x = -11y-1 Simplifying x = -11y-1Subproblem 3
Set the factor '(10 + -1xy)' equal to zero and attempt to solve: Simplifying 10 + -1xy = 0 Solving 10 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1xy = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1xy = 0 + -10 -1xy = 0 + -10 Combine like terms: 0 + -10 = -10 -1xy = -10 Divide each side by '-1y'. x = 10y-1 Simplifying x = 10y-1Solution
x = {0, -11y-1, 10y-1}
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