21x^2+50xy-16y^2=0

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Solution for 21x^2+50xy-16y^2=0 equation: 


Simplifying
21x2 + 50xy + -16y2 = 0

Reorder the terms:
50xy + 21x2 + -16y2 = 0

Solving
50xy + 21x2 + -16y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + -2y)(3x + 8y) = 0


Subproblem 1
Set the factor '(7x + -2y)' equal to zero and attempt to solve:

Simplifying
7x + -2y = 0

Solving
7x + -2y = 0

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

Add '2y' to each side of the equation.
7x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
7x + 0 = 0 + 2y
7x = 0 + 2y
Remove the zero:
7x = 2y

Divide each side by '7'.
x = 0.2857142857y

Simplifying
x = 0.2857142857y

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

Simplifying
3x + 8y = 0

Solving
3x + 8y = 0

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

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

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

Divide each side by '3'.
x = -2.666666667y

Simplifying
x = -2.666666667y
Solution
x = {0.2857142857y, -2.666666667y}

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