4x^2+xy-18y^2=

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Solution for 4x^2+xy-18y^2= equation: 


Simplifying
4x2 + xy + -18y2 = 0

Reorder the terms:
xy + 4x2 + -18y2 = 0

Solving
xy + 4x2 + -18y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -2y)(4x + 9y) = 0


Subproblem 1
Set the factor '(x + -2y)' equal to zero and attempt to solve:

Simplifying
x + -2y = 0

Solving
x + -2y = 0

Move all terms containing x to the left, all other terms to the right.

Add '2y' to each side of the equation.
x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
x + 0 = 0 + 2y
x = 0 + 2y
Remove the zero:
x = 2y

Simplifying
x = 2y

Subproblem 2
Set the factor '(4x + 9y)' equal to zero and attempt to solve:

Simplifying
4x + 9y = 0

Solving
4x + 9y = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9y' to each side of the equation.
4x + 9y + -9y = 0 + -9y

Combine like terms: 9y + -9y = 0
4x + 0 = 0 + -9y
4x = 0 + -9y
Remove the zero:
4x = -9y

Divide each side by '4'.
x = -2.25y

Simplifying
x = -2.25y
Solution
x = {2y, -2.25y}

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