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Simplifying 30x2y + -87xy + 30y = 0 Reorder the terms: -87xy + 30x2y + 30y = 0 Solving -87xy + 30x2y + 30y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(-29x + 10x2 + 10) = 0 Factor a trinomial. 3y((2x + -5)(5x + -2)) = 0 Ignore the factor 3.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 '(2x + -5)' equal to zero and attempt to solve: Simplifying 2x + -5 = 0 Reorder the terms: -5 + 2x = 0 Solving -5 + 2x = 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 + 2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 0 + 5 2x = 0 + 5 Combine like terms: 0 + 5 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5Subproblem 3
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 = 0.4Solution
x = {2.5, 0.4}
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