(7x+5y)(7x+5y)=

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Solution for (7x+5y)(7x+5y)= equation: 


Simplifying
(7x + 5y)(7x + 5y) = 0

Multiply (7x + 5y) * (7x + 5y)
(7x * (7x + 5y) + 5y * (7x + 5y)) = 0
((7x * 7x + 5y * 7x) + 5y * (7x + 5y)) = 0

Reorder the terms:
((35xy + 49x2) + 5y * (7x + 5y)) = 0
((35xy + 49x2) + 5y * (7x + 5y)) = 0
(35xy + 49x2 + (7x * 5y + 5y * 5y)) = 0
(35xy + 49x2 + (35xy + 25y2)) = 0

Reorder the terms:
(35xy + 35xy + 49x2 + 25y2) = 0

Combine like terms: 35xy + 35xy = 70xy
(70xy + 49x2 + 25y2) = 0

Solving
70xy + 49x2 + 25y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + 5y)(7x + 5y) = 0


Subproblem 1
Set the factor '(7x + 5y)' equal to zero and attempt to solve:

Simplifying
7x + 5y = 0

Solving
7x + 5y = 0

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

Add '-5y' to each side of the equation.
7x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
7x + 0 = 0 + -5y
7x = 0 + -5y
Remove the zero:
7x = -5y

Divide each side by '7'.
x = -0.7142857143y

Simplifying
x = -0.7142857143y

Subproblem 2
Set the factor '(7x + 5y)' equal to zero and attempt to solve:

Simplifying
7x + 5y = 0

Solving
7x + 5y = 0

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

Add '-5y' to each side of the equation.
7x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
7x + 0 = 0 + -5y
7x = 0 + -5y
Remove the zero:
7x = -5y

Divide each side by '7'.
x = -0.7142857143y

Simplifying
x = -0.7142857143y
Solution
x = {-0.7142857143y, -0.7142857143y}

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