22x^2-25xy+7y^2=

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Solution for 22x^2-25xy+7y^2= equation: 


Simplifying
22x2 + -25xy + 7y2 = 0

Reorder the terms:
-25xy + 22x2 + 7y2 = 0

Solving
-25xy + 22x2 + 7y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11x + -7y)(2x + -1y) = 0


Subproblem 1
Set the factor '(11x + -7y)' equal to zero and attempt to solve:

Simplifying
11x + -7y = 0

Solving
11x + -7y = 0

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

Add '7y' to each side of the equation.
11x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
11x + 0 = 0 + 7y
11x = 0 + 7y
Remove the zero:
11x = 7y

Divide each side by '11'.
x = 0.6363636364y

Simplifying
x = 0.6363636364y

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

Simplifying
2x + -1y = 0

Solving
2x + -1y = 0

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

Add 'y' to each side of the equation.
2x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
2x + 0 = 0 + y
2x = 0 + y
Remove the zero:
2x = y

Divide each side by '2'.
x = 0.5y

Simplifying
x = 0.5y
Solution
x = {0.6363636364y, 0.5y}

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