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Simplifying 9x2y + 39xy + -90y = 0 Reorder the terms: 39xy + 9x2y + -90y = 0 Solving 39xy + 9x2y + -90y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(13x + 3x2 + -30) = 0 Factor a trinomial. 3y((3x + -5)(x + 6)) = 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 '(3x + -5)' equal to zero and attempt to solve: Simplifying 3x + -5 = 0 Reorder the terms: -5 + 3x = 0 Solving -5 + 3x = 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 + 3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 0 + 5 3x = 0 + 5 Combine like terms: 0 + 5 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667Subproblem 3
Set the factor '(x + 6)' equal to zero and attempt to solve: Simplifying x + 6 = 0 Reorder the terms: 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {1.666666667, -6}
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