6x^2+41xy-7y^2=

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Solution for 6x^2+41xy-7y^2= equation: 


Simplifying
6x2 + 41xy + -7y2 = 0

Reorder the terms:
41xy + 6x2 + -7y2 = 0

Solving
41xy + 6x2 + -7y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6x + -1y)(x + 7y) = 0


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

Simplifying
6x + -1y = 0

Solving
6x + -1y = 0

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

Add 'y' to each side of the equation.
6x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
6x + 0 = 0 + y
6x = 0 + y
Remove the zero:
6x = y

Divide each side by '6'.
x = 0.1666666667y

Simplifying
x = 0.1666666667y

Subproblem 2
Set the factor '(x + 7y)' equal to zero and attempt to solve:

Simplifying
x + 7y = 0

Solving
x + 7y = 0

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

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

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

Simplifying
x = -7y
Solution
x = {0.1666666667y, -7y}

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