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Simplifying 30x2y + 52xy + 16y = 0 Reorder the terms: 52xy + 30x2y + 16y = 0 Solving 52xy + 30x2y + 16y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(26x + 15x2 + 8) = 0 Factor a trinomial. 2y((5x + 2)(3x + 4)) = 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 '(5x + 2)' equal to zero and attempt to solve: Simplifying 5x + 2 = 0 Reorder the terms: 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Subproblem 3
Set the factor '(3x + 4)' equal to zero and attempt to solve: Simplifying 3x + 4 = 0 Reorder the terms: 4 + 3x = 0 Solving 4 + 3x = 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 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Solution
x = {-0.4, -1.333333333}
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