(2x+7y)(7x+3y)=

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Solution for (2x+7y)(7x+3y)= equation: 


Simplifying
(2x + 7y)(7x + 3y) = 0

Multiply (2x + 7y) * (7x + 3y)
(2x * (7x + 3y) + 7y * (7x + 3y)) = 0
((7x * 2x + 3y * 2x) + 7y * (7x + 3y)) = 0

Reorder the terms:
((6xy + 14x2) + 7y * (7x + 3y)) = 0
((6xy + 14x2) + 7y * (7x + 3y)) = 0
(6xy + 14x2 + (7x * 7y + 3y * 7y)) = 0
(6xy + 14x2 + (49xy + 21y2)) = 0

Reorder the terms:
(6xy + 49xy + 14x2 + 21y2) = 0

Combine like terms: 6xy + 49xy = 55xy
(55xy + 14x2 + 21y2) = 0

Solving
55xy + 14x2 + 21y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + 3y)(2x + 7y) = 0


Subproblem 1
Set the factor '(7x + 3y)' equal to zero and attempt to solve:

Simplifying
7x + 3y = 0

Solving
7x + 3y = 0

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

Add '-3y' to each side of the equation.
7x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
7x + 0 = 0 + -3y
7x = 0 + -3y
Remove the zero:
7x = -3y

Divide each side by '7'.
x = -0.4285714286y

Simplifying
x = -0.4285714286y

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 = {-0.4285714286y, -3.5y}

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