6x^2-11xy-10y^2=

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Solution for 6x^2-11xy-10y^2= equation:


Simplifying
6x2 + -11xy + -10y2 = 0

Reorder the terms:
-11xy + 6x2 + -10y2 = 0

Solving
-11xy + 6x2 + -10y2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

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 = {2.5y, -0.6666666667y}

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