x^2-14xy+24y^2=

Solution for x^2-14xy+24y^2= equation:

Simplifying
x2 + -14xy + 24y2 = 0

Reorder the terms:
-14xy + x2 + 24y2 = 0

Solving
-14xy + x2 + 24y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -12y)(x + -2y) = 0

Subproblem 1
Set the factor '(x + -12y)' equal to zero and attempt to solve:

Simplifying
x + -12y = 0

Solving
x + -12y = 0

Move all terms containing x to the left, all other terms to the right.

Add '12y' to each side of the equation.
x + -12y + 12y = 0 + 12y

Combine like terms: -12y + 12y = 0
x + 0 = 0 + 12y
x = 0 + 12y
Remove the zero:
x = 12y

Simplifying
x = 12y
Subproblem 2
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
Solution
x = {12y, 2y}