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Simplifying 2x2y + 16xy + 30y = 0 Reorder the terms: 16xy + 2x2y + 30y = 0 Solving 16xy + 2x2y + 30y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(8x + x2 + 15) = 0 Factor a trinomial. 2y((x + 3)(x + 5)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(x + 3)' equal to zero and attempt to solve: Simplifying x + 3 = 0 Reorder the terms: 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 = -3Subproblem 3
Set the factor '(x + 5)' equal to zero and attempt to solve: Simplifying x + 5 = 0 Reorder the terms: 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {-3, -5}
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