(2x^2-7xy+6y^2)=

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Solution for (2x^2-7xy+6y^2)= equation:


Simplifying
(2x2 + -7xy + 6y2) = 0

Reorder the terms:
(-7xy + 2x2 + 6y2) = 0

Remove parenthesis around (-7xy + 2x2 + 6y2)
-7xy + 2x2 + 6y2 = 0

Solving
-7xy + 2x2 + 6y2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(2x + -3y)' equal to zero and attempt to solve: Simplifying 2x + -3y = 0 Solving 2x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 2x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 2x + 0 = 0 + 3y 2x = 0 + 3y Remove the zero: 2x = 3y Divide each side by '2'. x = 1.5y Simplifying x = 1.5y

Solution

x = {2y, 1.5y}

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