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Simplifying 9x2y2 + 60xy2 + 100y2 = 0 Reorder the terms: 60xy2 + 9x2y2 + 100y2 = 0 Solving 60xy2 + 9x2y2 + 100y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(60x + 9x2 + 100) = 0 Factor a trinomial. y2((3x + 10)(3x + 10)) = 0Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. y2 + -1y2 = 0 + -1y2 Remove the zero: 0 = -1y2 Simplifying 0 = -1y2 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 '(3x + 10)' equal to zero and attempt to solve: Simplifying 3x + 10 = 0 Reorder the terms: 10 + 3x = 0 Solving 10 + 3x = 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 + 3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 0 + -10 3x = 0 + -10 Combine like terms: 0 + -10 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333Subproblem 3
Set the factor '(3x + 10)' equal to zero and attempt to solve: Simplifying 3x + 10 = 0 Reorder the terms: 10 + 3x = 0 Solving 10 + 3x = 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 + 3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 0 + -10 3x = 0 + -10 Combine like terms: 0 + -10 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333Solution
x = {-3.333333333, -3.333333333}
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