(y-9x)(y-9x)=

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Solution for (y-9x)(y-9x)= equation:


Simplifying
(y + -9x)(y + -9x) = 0

Reorder the terms:
(-9x + y)(y + -9x) = 0

Reorder the terms:
(-9x + y)(-9x + y) = 0

Multiply (-9x + y) * (-9x + y)
(-9x * (-9x + y) + y(-9x + y)) = 0
((-9x * -9x + y * -9x) + y(-9x + y)) = 0

Reorder the terms:
((-9xy + 81x2) + y(-9x + y)) = 0
((-9xy + 81x2) + y(-9x + y)) = 0
(-9xy + 81x2 + (-9x * y + y * y)) = 0
(-9xy + 81x2 + (-9xy + y2)) = 0

Reorder the terms:
(-9xy + -9xy + 81x2 + y2) = 0

Combine like terms: -9xy + -9xy = -18xy
(-18xy + 81x2 + y2) = 0

Solving
-18xy + 81x2 + y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9x + -1y)(9x + -1y) = 0

Subproblem 1

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

Subproblem 2

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

Solution

x = {0.1111111111y, 0.1111111111y}

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