2x^2-22y^2-20=0

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Solution for 2x^2-22y^2-20=0 equation: 


Simplifying
2x2 + -22y2 + -20 = 0

Reorder the terms:
-20 + 2x2 + -22y2 = 0

Solving
-20 + 2x2 + -22y2 = 0

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 2x2 + 20 + -22y2 = 0 + 20

Reorder the terms:
-20 + 20 + 2x2 + -22y2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 2x2 + -22y2 = 0 + 20
2x2 + -22y2 = 0 + 20

Combine like terms: 0 + 20 = 20
2x2 + -22y2 = 20

Add '22y2' to each side of the equation.
2x2 + -22y2 + 22y2 = 20 + 22y2

Combine like terms: -22y2 + 22y2 = 0
2x2 + 0 = 20 + 22y2
2x2 = 20 + 22y2

Divide each side by '2'.
x2 = 10 + 11y2

Simplifying
x2 = 10 + 11y2

Reorder the terms:
-10 + x2 + -11y2 = 10 + 11y2 + -10 + -11y2

Reorder the terms:
-10 + x2 + -11y2 = 10 + -10 + 11y2 + -11y2

Combine like terms: 10 + -10 = 0
-10 + x2 + -11y2 = 0 + 11y2 + -11y2
-10 + x2 + -11y2 = 11y2 + -11y2

Combine like terms: 11y2 + -11y2 = 0
-10 + x2 + -11y2 = 0

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


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

Simplifying
x + -11y = 0

Solving
x + -11y = 0

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

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

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

Simplifying
x = 11y

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

Simplifying
x + y = 0

Solving
x + y = 0

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

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

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

Simplifying
x = -1y
Solution
x = {11y, -1y}

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