6x^2+5xy-14y^2=

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Solution for 6x^2+5xy-14y^2= equation: 


Simplifying
6x2 + 5xy + -14y2 = 0

Reorder the terms:
5xy + 6x2 + -14y2 = 0

Solving
5xy + 6x2 + -14y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6x + -7y)(x + 2y) = 0


Subproblem 1
Set the factor '(6x + -7y)' equal to zero and attempt to solve:

Simplifying
6x + -7y = 0

Solving
6x + -7y = 0

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

Add '7y' to each side of the equation.
6x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
6x + 0 = 0 + 7y
6x = 0 + 7y
Remove the zero:
6x = 7y

Divide each side by '6'.
x = 1.166666667y

Simplifying
x = 1.166666667y

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 = {1.166666667y, -2y}

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