-13xy+56x^2-30y^2=0

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Solution for -13xy+56x^2-30y^2=0 equation: 


Simplifying
-13xy + 56x2 + -30y2 = 0

Solving
-13xy + 56x2 + -30y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + -6y)(8x + 5y) = 0


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

Simplifying
7x + -6y = 0

Solving
7x + -6y = 0

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

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

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

Divide each side by '7'.
x = 0.8571428571y

Simplifying
x = 0.8571428571y

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 = {0.8571428571y, -0.625y}

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