81x^2+72xy+16y^2=0

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Solution for 81x^2+72xy+16y^2=0 equation:


Simplifying
81x2 + 72xy + 16y2 = 0

Reorder the terms:
72xy + 81x2 + 16y2 = 0

Solving
72xy + 81x2 + 16y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9x + 4y)(9x + 4y) = 0

Subproblem 1

Set the factor '(9x + 4y)' equal to zero and attempt to solve: Simplifying 9x + 4y = 0 Solving 9x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 9x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 9x + 0 = 0 + -4y 9x = 0 + -4y Remove the zero: 9x = -4y Divide each side by '9'. x = -0.4444444444y Simplifying x = -0.4444444444y

Subproblem 2

Set the factor '(9x + 4y)' equal to zero and attempt to solve: Simplifying 9x + 4y = 0 Solving 9x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 9x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 9x + 0 = 0 + -4y 9x = 0 + -4y Remove the zero: 9x = -4y Divide each side by '9'. x = -0.4444444444y Simplifying x = -0.4444444444y

Solution

x = {-0.4444444444y, -0.4444444444y}

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