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Simplifying x4y2 + 13x3y3 + 22x2y4 = 0 Reorder the terms: 22x2y4 + 13x3y3 + x4y2 = 0 Solving 22x2y4 + 13x3y3 + x4y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2y2'. x2y2(22y2 + 13xy + x2) = 0 Factor a trinomial. x2y2((11y + x)(2y + x)) = 0Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(11y + x)' equal to zero and attempt to solve: Simplifying 11y + x = 0 Reorder the terms: x + 11y = 0 Solving x + 11y = 0 Move all terms containing x to the left, all other terms to the right. Add '-11y' to each side of the equation. x + 11y + -11y = 0 + -11y Combine like terms: 11y + -11y = 0 x + 0 = 0 + -11y x = 0 + -11y Remove the zero: x = -11y Simplifying x = -11ySubproblem 3
Set the factor '(2y + x)' equal to zero and attempt to solve: Simplifying 2y + x = 0 Reorder the terms: x + 2y = 0 Solving x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 x + 0 = 0 + -2y x = 0 + -2y Remove the zero: x = -2y Simplifying x = -2ySolution
x = {-11y, -2y}
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