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Simplifying 15x2y + 6xy + -9y = 0 Reorder the terms: 6xy + 15x2y + -9y = 0 Solving 6xy + 15x2y + -9y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(2x + 5x2 + -3) = 0 Factor a trinomial. 3y((5x + -3)(x + 1)) = 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 '(5x + -3)' equal to zero and attempt to solve: Simplifying 5x + -3 = 0 Reorder the terms: -3 + 5x = 0 Solving -3 + 5x = 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 + 5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 0 + 3 5x = 0 + 3 Combine like terms: 0 + 3 = 3 5x = 3 Divide each side by '5'. x = 0.6 Simplifying x = 0.6Subproblem 3
Set the factor '(x + 1)' equal to zero and attempt to solve: Simplifying x + 1 = 0 Reorder the terms: 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0.6, -1}
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