5x^2-24xy-5y^2=0

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Solution for 5x^2-24xy-5y^2=0 equation:


Simplifying
5x2 + -24xy + -5y2 = 0

Reorder the terms:
-24xy + 5x2 + -5y2 = 0

Solving
-24xy + 5x2 + -5y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -5y)(5x + y) = 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 '(5x + y)' equal to zero and attempt to solve: Simplifying 5x + y = 0 Solving 5x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 5x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 5x + 0 = 0 + -1y 5x = 0 + -1y Remove the zero: 5x = -1y Divide each side by '5'. x = -0.2y Simplifying x = -0.2y

Solution

x = {5y, -0.2y}

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