6x^2+23xy+20y^2=

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Solution for 6x^2+23xy+20y^2= equation:


Simplifying
6x2 + 23xy + 20y2 = 0

Reorder the terms:
23xy + 6x2 + 20y2 = 0

Solving
23xy + 6x2 + 20y2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(3x + 4y)' equal to zero and attempt to solve: Simplifying 3x + 4y = 0 Solving 3x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 3x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 3x + 0 = 0 + -4y 3x = 0 + -4y Remove the zero: 3x = -4y Divide each side by '3'. x = -1.333333333y Simplifying x = -1.333333333y

Subproblem 2

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

Solution

x = {-1.333333333y, -2.5y}

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