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

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Solution for (3x+7y)(3x+7y)= 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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