48x^2-26xy-35y^2=0

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Solution for 48x^2-26xy-35y^2=0 equation: 


Simplifying
48x2 + -26xy + -35y2 = 0

Reorder the terms:
-26xy + 48x2 + -35y2 = 0

Solving
-26xy + 48x2 + -35y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6x + -7y)(8x + 5y) = 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 '(8x + 5y)' equal to zero and attempt to solve:

Simplifying
8x + 5y = 0

Solving
8x + 5y = 0

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

Add '-5y' to each side of the equation.
8x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
8x + 0 = 0 + -5y
8x = 0 + -5y
Remove the zero:
8x = -5y

Divide each side by '8'.
x = -0.625y

Simplifying
x = -0.625y
Solution
x = {1.166666667y, -0.625y}

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