21x^2+11xy-2y^2=0

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Solution for 21x^2+11xy-2y^2=0 equation:


Simplifying
21x2 + 11xy + -2y2 = 0

Reorder the terms:
11xy + 21x2 + -2y2 = 0

Solving
11xy + 21x2 + -2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + -1y)(3x + 2y) = 0

Subproblem 1

Set the factor '(7x + -1y)' equal to zero and attempt to solve: Simplifying 7x + -1y = 0 Solving 7x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 7x + -1y + y = 0 + y Combine like terms: -1y + y = 0 7x + 0 = 0 + y 7x = 0 + y Remove the zero: 7x = y Divide each side by '7'. x = 0.1428571429y Simplifying x = 0.1428571429y

Subproblem 2

Set the factor '(3x + 2y)' equal to zero and attempt to solve: Simplifying 3x + 2y = 0 Solving 3x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 3x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 3x + 0 = 0 + -2y 3x = 0 + -2y Remove the zero: 3x = -2y Divide each side by '3'. x = -0.6666666667y Simplifying x = -0.6666666667y

Solution

x = {0.1428571429y, -0.6666666667y}

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