(2x+7y)(2x+7y)=

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Solution for (2x+7y)(2x+7y)= equation: 


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

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

Reorder the terms:
((14xy + 4x2) + 7y * (2x + 7y)) = 0
((14xy + 4x2) + 7y * (2x + 7y)) = 0
(14xy + 4x2 + (2x * 7y + 7y * 7y)) = 0
(14xy + 4x2 + (14xy + 49y2)) = 0

Reorder the terms:
(14xy + 14xy + 4x2 + 49y2) = 0

Combine like terms: 14xy + 14xy = 28xy
(28xy + 4x2 + 49y2) = 0

Solving
28xy + 4x2 + 49y2 = 0

Solving for variable 'x'.

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


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

Simplifying
2x + 7y = 0

Solving
2x + 7y = 0

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

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

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

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

Simplifying
x = -3.5y

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

Simplifying
2x + 7y = 0

Solving
2x + 7y = 0

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

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

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

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

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

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