2x^2+13xy+21y^2=

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Solution for 2x^2+13xy+21y^2= equation:


Simplifying
2x2 + 13xy + 21y2 = 0

Reorder the terms:
13xy + 2x2 + 21y2 = 0

Solving
13xy + 2x2 + 21y2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(2x + 7y)' equal to zero and attempt to solve: Simplifying 2x + 7y = 0 Solving 2x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 2x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 2x + 0 = 0 + -7y 2x = 0 + -7y Remove the zero: 2x = -7y Divide each side by '2'. x = -3.5y Simplifying x = -3.5y

Solution

x = {-3y, -3.5y}

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