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

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


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

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

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

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

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

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

Solving for variable 'x'.
Remove the zero:
42xy + -49x2 + -9y2 = -42xy + 49x2 + 9y2 + 42xy + -49x2 + -9y2

Reorder the terms:
42xy + -49x2 + -9y2 = -42xy + 42xy + 49x2 + -49x2 + 9y2 + -9y2

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

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

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

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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