x^2-24xy+63y^2=

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Solution for x^2-24xy+63y^2= equation:


Simplifying
x2 + -24xy + 63y2 = 0

Reorder the terms:
-24xy + x2 + 63y2 = 0

Solving
-24xy + x2 + 63y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -21y)(x + -3y) = 0

Subproblem 1

Set the factor '(x + -21y)' equal to zero and attempt to solve: Simplifying x + -21y = 0 Solving x + -21y = 0 Move all terms containing x to the left, all other terms to the right. Add '21y' to each side of the equation. x + -21y + 21y = 0 + 21y Combine like terms: -21y + 21y = 0 x + 0 = 0 + 21y x = 0 + 21y Remove the zero: x = 21y Simplifying x = 21y

Subproblem 2

Set the factor '(x + -3y)' equal to zero and attempt to solve: Simplifying x + -3y = 0 Solving x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 x + 0 = 0 + 3y x = 0 + 3y Remove the zero: x = 3y Simplifying x = 3y

Solution

x = {21y, 3y}

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