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

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Solution for (3x-7y)(3x-7y)=0 equation: 


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

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

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

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

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

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

Solving for variable 'x'.

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


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

Simplifying
3x + -7y = 0

Solving
3x + -7y = 0

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

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

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

Divide each side by '3'.
x = 2.333333333y

Simplifying
x = 2.333333333y

Subproblem 2
Set the factor '(3x + -7y)' equal to zero and attempt to solve:

Simplifying
3x + -7y = 0

Solving
3x + -7y = 0

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

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

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

Divide each side by '3'.
x = 2.333333333y

Simplifying
x = 2.333333333y
Solution
x = {2.333333333y, 2.333333333y}

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