15x^2-26xy-21y^2=0

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Solution for 15x^2-26xy-21y^2=0 equation: 


Simplifying
15x2 + -26xy + -21y2 = 0

Reorder the terms:
-26xy + 15x2 + -21y2 = 0

Solving
-26xy + 15x2 + -21y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x + -7y)(5x + 3y) = 0


Subproblem 1
Set the factor '(3x + -7y)' equal to zero and attempt to solve:

Simplifying
3x + -7y = 0

Solving
3x + -7y = 0

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

Add '7y' to each side of the equation.
3x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
3x + 0 = 0 + 7y
3x = 0 + 7y
Remove the zero:
3x = 7y

Divide each side by '3'.
x = 2.333333333y

Simplifying
x = 2.333333333y

Subproblem 2
Set the factor '(5x + 3y)' equal to zero and attempt to solve:

Simplifying
5x + 3y = 0

Solving
5x + 3y = 0

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

Add '-3y' to each side of the equation.
5x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
5x + 0 = 0 + -3y
5x = 0 + -3y
Remove the zero:
5x = -3y

Divide each side by '5'.
x = -0.6y

Simplifying
x = -0.6y
Solution
x = {2.333333333y, -0.6y}

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