7x^2+36xy+5y^2=0

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Solution for 7x^2+36xy+5y^2=0 equation: 


Simplifying
7x2 + 36xy + 5y2 = 0

Reorder the terms:
36xy + 7x2 + 5y2 = 0

Solving
36xy + 7x2 + 5y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + y)(x + 5y) = 0


Subproblem 1
Set the factor '(7x + y)' equal to zero and attempt to solve:

Simplifying
7x + y = 0

Solving
7x + y = 0

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

Add '-1y' to each side of the equation.
7x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
7x + 0 = 0 + -1y
7x = 0 + -1y
Remove the zero:
7x = -1y

Divide each side by '7'.
x = -0.1428571429y

Simplifying
x = -0.1428571429y

Subproblem 2
Set the factor '(x + 5y)' equal to zero and attempt to solve:

Simplifying
x + 5y = 0

Solving
x + 5y = 0

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

Add '-5y' to each side of the equation.
x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
x + 0 = 0 + -5y
x = 0 + -5y
Remove the zero:
x = -5y

Simplifying
x = -5y
Solution
x = {-0.1428571429y, -5y}

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