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Simplifying 9x4y4 + 36x3y5 + 36x2y6 = 0 Reorder the terms: 36x2y6 + 36x3y5 + 9x4y4 = 0 Solving 36x2y6 + 36x3y5 + 9x4y4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9x2y4'. 9x2y4(4y2 + 4xy + x2) = 0 Factor a trinomial. 9x2y4((2y + x)(2y + x)) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'x2y4' equal to zero and attempt to solve: Simplifying x2y4 = 0 Solving x2y4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y4 = 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 '(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 = -2ySubproblem 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 = {-2y, -2y}
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