-8x^2-14xy+15y^2=0

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Solution for -8x^2-14xy+15y^2=0 equation: 


Simplifying
-8x2 + -14xy + 15y2 = 0

Reorder the terms:
-14xy + -8x2 + 15y2 = 0

Solving
-14xy + -8x2 + 15y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2x + -5y)(4x + -3y) = 0


Subproblem 1
Set the factor '(-2x + -5y)' equal to zero and attempt to solve:

Simplifying
-2x + -5y = 0

Solving
-2x + -5y = 0

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

Add '5y' to each side of the equation.
-2x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
-2x + 0 = 0 + 5y
-2x = 0 + 5y
Remove the zero:
-2x = 5y

Divide each side by '-2'.
x = -2.5y

Simplifying
x = -2.5y

Subproblem 2
Set the factor '(4x + -3y)' equal to zero and attempt to solve:

Simplifying
4x + -3y = 0

Solving
4x + -3y = 0

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

Add '3y' to each side of the equation.
4x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
4x + 0 = 0 + 3y
4x = 0 + 3y
Remove the zero:
4x = 3y

Divide each side by '4'.
x = 0.75y

Simplifying
x = 0.75y
Solution
x = {-2.5y, 0.75y}

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