10x^2-43xy-66y^2=0

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Solution for 10x^2-43xy-66y^2=0 equation: 


Simplifying
10x2 + -43xy + -66y2 = 0

Reorder the terms:
-43xy + 10x2 + -66y2 = 0

Solving
-43xy + 10x2 + -66y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -11y)(5x + 6y) = 0


Subproblem 1
Set the factor '(2x + -11y)' equal to zero and attempt to solve:

Simplifying
2x + -11y = 0

Solving
2x + -11y = 0

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

Add '11y' to each side of the equation.
2x + -11y + 11y = 0 + 11y

Combine like terms: -11y + 11y = 0
2x + 0 = 0 + 11y
2x = 0 + 11y
Remove the zero:
2x = 11y

Divide each side by '2'.
x = 5.5y

Simplifying
x = 5.5y

Subproblem 2
Set the factor '(5x + 6y)' equal to zero and attempt to solve:

Simplifying
5x + 6y = 0

Solving
5x + 6y = 0

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

Add '-6y' to each side of the equation.
5x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0
5x + 0 = 0 + -6y
5x = 0 + -6y
Remove the zero:
5x = -6y

Divide each side by '5'.
x = -1.2y

Simplifying
x = -1.2y
Solution
x = {5.5y, -1.2y}

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