4x^2+xy-18y^2=0

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Solution for 4x^2+xy-18y^2=0 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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