64x^2-32xy-21y^2=0

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Solution for 64x^2-32xy-21y^2=0 equation: 


Simplifying
64x2 + -32xy + -21y2 = 0

Reorder the terms:
-32xy + 64x2 + -21y2 = 0

Solving
-32xy + 64x2 + -21y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8x + -7y)(8x + 3y) = 0


Subproblem 1
Set the factor '(8x + -7y)' equal to zero and attempt to solve:

Simplifying
8x + -7y = 0

Solving
8x + -7y = 0

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

Add '7y' to each side of the equation.
8x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
8x + 0 = 0 + 7y
8x = 0 + 7y
Remove the zero:
8x = 7y

Divide each side by '8'.
x = 0.875y

Simplifying
x = 0.875y

Subproblem 2
Set the factor '(8x + 3y)' equal to zero and attempt to solve:

Simplifying
8x + 3y = 0

Solving
8x + 3y = 0

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

Add '-3y' to each side of the equation.
8x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
8x + 0 = 0 + -3y
8x = 0 + -3y
Remove the zero:
8x = -3y

Divide each side by '8'.
x = -0.375y

Simplifying
x = -0.375y
Solution
x = {0.875y, -0.375y}

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