9x^2-42xy+13y^2=

Solution for 9x^2-42xy+13y^2= equation:

Simplifying
9x2 + -42xy + 13y2 = 0

Reorder the terms:
-42xy + 9x2 + 13y2 = 0

Solving
-42xy + 9x2 + 13y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x + -13y)(3x + -1y) = 0

Subproblem 1
Set the factor '(3x + -13y)' equal to zero and attempt to solve:

Simplifying
3x + -13y = 0

Solving
3x + -13y = 0

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

Add '13y' to each side of the equation.
3x + -13y + 13y = 0 + 13y

Combine like terms: -13y + 13y = 0
3x + 0 = 0 + 13y
3x = 0 + 13y
Remove the zero:
3x = 13y

Divide each side by '3'.
x = 4.333333333y

Simplifying
x = 4.333333333y
Subproblem 2
Set the factor '(3x + -1y)' equal to zero and attempt to solve:

Simplifying
3x + -1y = 0

Solving
3x + -1y = 0

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

Add 'y' to each side of the equation.
3x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
3x + 0 = 0 + y
3x = 0 + y
Remove the zero:
3x = y

Divide each side by '3'.
x = 0.3333333333y

Simplifying
x = 0.3333333333y
Solution
x = {4.333333333y, 0.3333333333y}