6x^2+41xy-30y^2=

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Solution for 6x^2+41xy-30y^2= equation: 


Simplifying
6x2 + 41xy + -30y2 = 0

Reorder the terms:
41xy + 6x2 + -30y2 = 0

Solving
41xy + 6x2 + -30y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x + -2y)(2x + 15y) = 0


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

Simplifying
3x + -2y = 0

Solving
3x + -2y = 0

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

Add '2y' to each side of the equation.
3x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
3x + 0 = 0 + 2y
3x = 0 + 2y
Remove the zero:
3x = 2y

Divide each side by '3'.
x = 0.6666666667y

Simplifying
x = 0.6666666667y

Subproblem 2
Set the factor '(2x + 15y)' equal to zero and attempt to solve:

Simplifying
2x + 15y = 0

Solving
2x + 15y = 0

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

Add '-15y' to each side of the equation.
2x + 15y + -15y = 0 + -15y

Combine like terms: 15y + -15y = 0
2x + 0 = 0 + -15y
2x = 0 + -15y
Remove the zero:
2x = -15y

Divide each side by '2'.
x = -7.5y

Simplifying
x = -7.5y
Solution
x = {0.6666666667y, -7.5y}

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