(7y+2u)(7y+2u)=0

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Solution for (7y+2u)(7y+2u)=0 equation: 


Simplifying
(7y + 2u)(7y + 2u) = 0

Reorder the terms:
(2u + 7y)(7y + 2u) = 0

Reorder the terms:
(2u + 7y)(2u + 7y) = 0

Multiply (2u + 7y) * (2u + 7y)
(2u * (2u + 7y) + 7y * (2u + 7y)) = 0
((2u * 2u + 7y * 2u) + 7y * (2u + 7y)) = 0

Reorder the terms:
((14uy + 4u2) + 7y * (2u + 7y)) = 0
((14uy + 4u2) + 7y * (2u + 7y)) = 0
(14uy + 4u2 + (2u * 7y + 7y * 7y)) = 0
(14uy + 4u2 + (14uy + 49y2)) = 0

Reorder the terms:
(14uy + 14uy + 4u2 + 49y2) = 0

Combine like terms: 14uy + 14uy = 28uy
(28uy + 4u2 + 49y2) = 0

Solving
28uy + 4u2 + 49y2 = 0

Solving for variable 'u'.

Factor a trinomial.
(2u + 7y)(2u + 7y) = 0


Subproblem 1
Set the factor '(2u + 7y)' equal to zero and attempt to solve:

Simplifying
2u + 7y = 0

Solving
2u + 7y = 0

Move all terms containing u to the left, all other terms to the right.

Add '-7y' to each side of the equation.
2u + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0
2u + 0 = 0 + -7y
2u = 0 + -7y
Remove the zero:
2u = -7y

Divide each side by '2'.
u = -3.5y

Simplifying
u = -3.5y

Subproblem 2
Set the factor '(2u + 7y)' equal to zero and attempt to solve:

Simplifying
2u + 7y = 0

Solving
2u + 7y = 0

Move all terms containing u to the left, all other terms to the right.

Add '-7y' to each side of the equation.
2u + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0
2u + 0 = 0 + -7y
2u = 0 + -7y
Remove the zero:
2u = -7y

Divide each side by '2'.
u = -3.5y

Simplifying
u = -3.5y
Solution
u = {-3.5y, -3.5y}

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