6x^2-25xy-25y^2=

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Solution for 6x^2-25xy-25y^2= equation:


Simplifying
6x2 + -25xy + -25y2 = 0

Reorder the terms:
-25xy + 6x2 + -25y2 = 0

Solving
-25xy + 6x2 + -25y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -5y)(6x + 5y) = 0

Subproblem 1

Set the factor '(x + -5y)' equal to zero and attempt to solve: Simplifying x + -5y = 0 Solving x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 x + 0 = 0 + 5y x = 0 + 5y Remove the zero: x = 5y Simplifying x = 5y

Subproblem 2

Set the factor '(6x + 5y)' equal to zero and attempt to solve: Simplifying 6x + 5y = 0 Solving 6x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 6x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 6x + 0 = 0 + -5y 6x = 0 + -5y Remove the zero: 6x = -5y Divide each side by '6'. x = -0.8333333333y Simplifying x = -0.8333333333y

Solution

x = {5y, -0.8333333333y}

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