(2x-11y)(2x-11y)=

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Solution for (2x-11y)(2x-11y)= equation:


Simplifying
(2x + -11y)(2x + -11y) = 0

Multiply (2x + -11y) * (2x + -11y)
(2x * (2x + -11y) + -11y * (2x + -11y)) = 0
((2x * 2x + -11y * 2x) + -11y * (2x + -11y)) = 0

Reorder the terms:
((-22xy + 4x2) + -11y * (2x + -11y)) = 0
((-22xy + 4x2) + -11y * (2x + -11y)) = 0
(-22xy + 4x2 + (2x * -11y + -11y * -11y)) = 0
(-22xy + 4x2 + (-22xy + 121y2)) = 0

Reorder the terms:
(-22xy + -22xy + 4x2 + 121y2) = 0

Combine like terms: -22xy + -22xy = -44xy
(-44xy + 4x2 + 121y2) = 0

Solving
-44xy + 4x2 + 121y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -11y)(2x + -11y) = 0

Subproblem 1

Set the factor '(2x + -11y)' equal to zero and attempt to solve: Simplifying 2x + -11y = 0 Solving 2x + -11y = 0 Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. 2x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 2x + 0 = 0 + 11y 2x = 0 + 11y Remove the zero: 2x = 11y Divide each side by '2'. x = 5.5y Simplifying x = 5.5y

Subproblem 2

Set the factor '(2x + -11y)' equal to zero and attempt to solve: Simplifying 2x + -11y = 0 Solving 2x + -11y = 0 Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. 2x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 2x + 0 = 0 + 11y 2x = 0 + 11y Remove the zero: 2x = 11y Divide each side by '2'. x = 5.5y Simplifying x = 5.5y

Solution

x = {5.5y, 5.5y}

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