2x^2+15xy+18y^2=0

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Solution for 2x^2+15xy+18y^2=0 equation:


Simplifying
2x2 + 15xy + 18y2 = 0

Reorder the terms:
15xy + 2x2 + 18y2 = 0

Solving
15xy + 2x2 + 18y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + 3y)(x + 6y) = 0

Subproblem 1

Set the factor '(2x + 3y)' equal to zero and attempt to solve: Simplifying 2x + 3y = 0 Solving 2x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 2x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 0 + -3y 2x = 0 + -3y Remove the zero: 2x = -3y Divide each side by '2'. x = -1.5y Simplifying x = -1.5y

Subproblem 2

Set the factor '(x + 6y)' equal to zero and attempt to solve: Simplifying x + 6y = 0 Solving x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 x + 0 = 0 + -6y x = 0 + -6y Remove the zero: x = -6y Simplifying x = -6y

Solution

x = {-1.5y, -6y}

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