(6x+5y)(6x+5y)=

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Solution for (6x+5y)(6x+5y)= equation:


Simplifying
(6x + 5y)(6x + 5y) = 0

Multiply (6x + 5y) * (6x + 5y)
(6x * (6x + 5y) + 5y * (6x + 5y)) = 0
((6x * 6x + 5y * 6x) + 5y * (6x + 5y)) = 0

Reorder the terms:
((30xy + 36x2) + 5y * (6x + 5y)) = 0
((30xy + 36x2) + 5y * (6x + 5y)) = 0
(30xy + 36x2 + (6x * 5y + 5y * 5y)) = 0
(30xy + 36x2 + (30xy + 25y2)) = 0

Reorder the terms:
(30xy + 30xy + 36x2 + 25y2) = 0

Combine like terms: 30xy + 30xy = 60xy
(60xy + 36x2 + 25y2) = 0

Solving
60xy + 36x2 + 25y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6x + 5y)(6x + 5y) = 0

Subproblem 1

Set the factor '(6x + 5y)' equal to zero and attempt to solve: Simplifying 6x + 5y = 0 Solving 6x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 6x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 6x + 0 = 0 + -5y 6x = 0 + -5y Remove the zero: 6x = -5y Divide each side by '6'. x = -0.8333333333y Simplifying x = -0.8333333333y

Subproblem 2

Set the factor '(6x + 5y)' equal to zero and attempt to solve: Simplifying 6x + 5y = 0 Solving 6x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 6x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 6x + 0 = 0 + -5y 6x = 0 + -5y Remove the zero: 6x = -5y Divide each side by '6'. x = -0.8333333333y Simplifying x = -0.8333333333y

Solution

x = {-0.8333333333y, -0.8333333333y}

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