7x^2+19xy+10y^2=

Solution for 7x^2+19xy+10y^2= equation:

Simplifying
7x2 + 19xy + 10y2 = 0

Reorder the terms:
19xy + 7x2 + 10y2 = 0

Solving
19xy + 7x2 + 10y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + 5y)(x + 2y) = 0

Subproblem 1
Set the factor '(7x + 5y)' equal to zero and attempt to solve:

Simplifying
7x + 5y = 0

Solving
7x + 5y = 0

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

Add '-5y' to each side of the equation.
7x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
7x + 0 = 0 + -5y
7x = 0 + -5y
Remove the zero:
7x = -5y

Divide each side by '7'.
x = -0.7142857143y

Simplifying
x = -0.7142857143y
Subproblem 2
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
Solution
x = {-0.7142857143y, -2y}