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

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


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

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

Reorder the terms:
((-21xy + 49x2) + -3y * (7x + -3y)) = 0
((-21xy + 49x2) + -3y * (7x + -3y)) = 0
(-21xy + 49x2 + (7x * -3y + -3y * -3y)) = 0
(-21xy + 49x2 + (-21xy + 9y2)) = 0

Reorder the terms:
(-21xy + -21xy + 49x2 + 9y2) = 0

Combine like terms: -21xy + -21xy = -42xy
(-42xy + 49x2 + 9y2) = 0

Solving
-42xy + 49x2 + 9y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + -3y)(7x + -3y) = 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 '(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 = {0.4285714286y, 0.4285714286y}

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