y^2+18yx+81x^2=0

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


Simplifying
y2 + 18yx + 81x2 = 0

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

Solving
18xy + 81x2 + y2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(9x + y)' equal to zero and attempt to solve: Simplifying 9x + y = 0 Solving 9x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 9x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 9x + 0 = 0 + -1y 9x = 0 + -1y Remove the zero: 9x = -1y Divide each side by '9'. x = -0.1111111111y Simplifying x = -0.1111111111y

Subproblem 2

Set the factor '(9x + y)' equal to zero and attempt to solve: Simplifying 9x + y = 0 Solving 9x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 9x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 9x + 0 = 0 + -1y 9x = 0 + -1y Remove the zero: 9x = -1y Divide each side by '9'. x = -0.1111111111y Simplifying x = -0.1111111111y

Solution

x = {-0.1111111111y, -0.1111111111y}

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