x^2-18xy+81y^2=0

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Solution for x^2-18xy+81y^2=0 equation:


Simplifying
x2 + -18xy + 81y2 = 0

Reorder the terms:
-18xy + x2 + 81y2 = 0

Solving
-18xy + x2 + 81y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -9y)(x + -9y) = 0

Subproblem 1

Set the factor '(x + -9y)' equal to zero and attempt to solve: Simplifying x + -9y = 0 Solving x + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 x + 0 = 0 + 9y x = 0 + 9y Remove the zero: x = 9y Simplifying x = 9y

Subproblem 2

Set the factor '(x + -9y)' equal to zero and attempt to solve: Simplifying x + -9y = 0 Solving x + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 x + 0 = 0 + 9y x = 0 + 9y Remove the zero: x = 9y Simplifying x = 9y

Solution

x = {9y, 9y}

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