3x^2+29xy+18y^2=0

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Solution for 3x^2+29xy+18y^2=0 equation:


Simplifying
3x2 + 29xy + 18y2 = 0

Reorder the terms:
29xy + 3x2 + 18y2 = 0

Solving
29xy + 3x2 + 18y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x + 2y)(x + 9y) = 0

Subproblem 1

Set the factor '(3x + 2y)' equal to zero and attempt to solve: Simplifying 3x + 2y = 0 Solving 3x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 3x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 3x + 0 = 0 + -2y 3x = 0 + -2y Remove the zero: 3x = -2y Divide each side by '3'. x = -0.6666666667y Simplifying x = -0.6666666667y

Subproblem 2

Set the factor '(x + 9y)' equal to zero and attempt to solve: Simplifying x + 9y = 0 Solving x + 9y = 0 Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. x + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 x + 0 = 0 + -9y x = 0 + -9y Remove the zero: x = -9y Simplifying x = -9y

Solution

x = {-0.6666666667y, -9y}

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