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

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


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

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

Reorder the terms:
((3xy + 7x2) + -2y * (7x + 3y)) = 0
((3xy + 7x2) + -2y * (7x + 3y)) = 0
(3xy + 7x2 + (7x * -2y + 3y * -2y)) = 0
(3xy + 7x2 + (-14xy + -6y2)) = 0

Reorder the terms:
(3xy + -14xy + 7x2 + -6y2) = 0

Combine like terms: 3xy + -14xy = -11xy
(-11xy + 7x2 + -6y2) = 0

Solving
-11xy + 7x2 + -6y2 = 0

Solving for variable 'x'.

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


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

Simplifying
x + -2y = 0

Solving
x + -2y = 0

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

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

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

Simplifying
x = 2y

Subproblem 2
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
Solution
x = {2y, -0.4285714286y}

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