(6x+11y)(6x+11y)=0

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Solution for (6x+11y)(6x+11y)=0 equation:


Simplifying
(6x + 11y)(6x + 11y) = 0

Multiply (6x + 11y) * (6x + 11y)
(6x * (6x + 11y) + 11y * (6x + 11y)) = 0
((6x * 6x + 11y * 6x) + 11y * (6x + 11y)) = 0

Reorder the terms:
((66xy + 36x2) + 11y * (6x + 11y)) = 0
((66xy + 36x2) + 11y * (6x + 11y)) = 0
(66xy + 36x2 + (6x * 11y + 11y * 11y)) = 0
(66xy + 36x2 + (66xy + 121y2)) = 0

Reorder the terms:
(66xy + 66xy + 36x2 + 121y2) = 0

Combine like terms: 66xy + 66xy = 132xy
(132xy + 36x2 + 121y2) = 0

Solving
132xy + 36x2 + 121y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6x + 11y)(6x + 11y) = 0

Subproblem 1

Set the factor '(6x + 11y)' equal to zero and attempt to solve: Simplifying 6x + 11y = 0 Solving 6x + 11y = 0 Move all terms containing x to the left, all other terms to the right. Add '-11y' to each side of the equation. 6x + 11y + -11y = 0 + -11y Combine like terms: 11y + -11y = 0 6x + 0 = 0 + -11y 6x = 0 + -11y Remove the zero: 6x = -11y Divide each side by '6'. x = -1.833333333y Simplifying x = -1.833333333y

Subproblem 2

Set the factor '(6x + 11y)' equal to zero and attempt to solve: Simplifying 6x + 11y = 0 Solving 6x + 11y = 0 Move all terms containing x to the left, all other terms to the right. Add '-11y' to each side of the equation. 6x + 11y + -11y = 0 + -11y Combine like terms: 11y + -11y = 0 6x + 0 = 0 + -11y 6x = 0 + -11y Remove the zero: 6x = -11y Divide each side by '6'. x = -1.833333333y Simplifying x = -1.833333333y

Solution

x = {-1.833333333y, -1.833333333y}

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