(n^2-ys)(2n^2+9ys)=0

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Solution for (n^2-ys)(2n^2+9ys)=0 equation:


Simplifying
(n2 + -1ys)(2n2 + 9ys) = 0

Multiply (n2 + -1sy) * (2n2 + 9sy)
(n2(2n2 + 9sy) + -1sy * (2n2 + 9sy)) = 0
((2n2 * n2 + 9sy * n2) + -1sy * (2n2 + 9sy)) = 0

Reorder the terms:
((9n2sy + 2n4) + -1sy * (2n2 + 9sy)) = 0
((9n2sy + 2n4) + -1sy * (2n2 + 9sy)) = 0
(9n2sy + 2n4 + (2n2 * -1sy + 9sy * -1sy)) = 0
(9n2sy + 2n4 + (-2n2sy + -9s2y2)) = 0

Reorder the terms:
(9n2sy + -2n2sy + 2n4 + -9s2y2) = 0

Combine like terms: 9n2sy + -2n2sy = 7n2sy
(7n2sy + 2n4 + -9s2y2) = 0

Solving
7n2sy + 2n4 + -9s2y2 = 0

Solving for variable 'n'.

Factor a trinomial.
(n2 + -1sy)(2n2 + 9sy) = 0

Subproblem 1

Set the factor '(n2 + -1sy)' equal to zero and attempt to solve: Simplifying n2 + -1sy = 0 Solving n2 + -1sy = 0 Move all terms containing n to the left, all other terms to the right. Add 'sy' to each side of the equation. n2 + -1sy + sy = 0 + sy Combine like terms: -1sy + sy = 0 n2 + 0 = 0 + sy n2 = 0 + sy Remove the zero: n2 = sy Simplifying n2 = sy 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 '(2n2 + 9sy)' equal to zero and attempt to solve: Simplifying 2n2 + 9sy = 0 Solving 2n2 + 9sy = 0 Move all terms containing n to the left, all other terms to the right. Add '-9sy' to each side of the equation. 2n2 + 9sy + -9sy = 0 + -9sy Combine like terms: 9sy + -9sy = 0 2n2 + 0 = 0 + -9sy 2n2 = 0 + -9sy Remove the zero: 2n2 = -9sy Divide each side by '2'. n2 = -4.5sy Simplifying n2 = -4.5sy The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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