81x^2-90xy+25y^2=

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Solution for 81x^2-90xy+25y^2= equation:


Simplifying
81x2 + -90xy + 25y2 = 0

Reorder the terms:
-90xy + 81x2 + 25y2 = 0

Solving
-90xy + 81x2 + 25y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9x + -5y)(9x + -5y) = 0

Subproblem 1

Set the factor '(9x + -5y)' equal to zero and attempt to solve: Simplifying 9x + -5y = 0 Solving 9x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 9x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 9x + 0 = 0 + 5y 9x = 0 + 5y Remove the zero: 9x = 5y Divide each side by '9'. x = 0.5555555556y Simplifying x = 0.5555555556y

Subproblem 2

Set the factor '(9x + -5y)' equal to zero and attempt to solve: Simplifying 9x + -5y = 0 Solving 9x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 9x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 9x + 0 = 0 + 5y 9x = 0 + 5y Remove the zero: 9x = 5y Divide each side by '9'. x = 0.5555555556y Simplifying x = 0.5555555556y

Solution

x = {0.5555555556y, 0.5555555556y}

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