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Simplifying 5x4y2 + 20x3y2 + 15x3y2 + 60x2y2 = 0 Reorder the terms: 60x2y2 + 20x3y2 + 15x3y2 + 5x4y2 = 0 Combine like terms: 20x3y2 + 15x3y2 = 35x3y2 60x2y2 + 35x3y2 + 5x4y2 = 0 Solving 60x2y2 + 35x3y2 + 5x4y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2y2'. 5x2y2(12 + 7x + x2) = 0 Factor a trinomial. 5x2y2((4 + x)(3 + x)) = 0 Ignore the factor 5.Subproblem 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 3
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-4, -3}
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