Question

x^2 - 4xy - 5y^2

slove please ​

Answer 1

Answer:

Simplifying

x2 + -4xy + -5y2 = 0

Reorder the terms:

-4xy + x2 + -5y2 = 0

Solving

-4xy + x2 + -5y2 = 0

Solving for variable 'x'.

Factor a trinomial.

(x + -5y)(x + 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

Answer 2

Simplifying

x2 + -4xy + -5y2 = 0

Reorder the terms:

-4xy + x2 + -5y2 = 0

Solving

-4xy + x2 + -5y2 = 0

Solving for variable 'x'.

Factor a trinomial.

(x + -5y)(x + 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