(7x^2y+12x)(7x^2y+12x)=0

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Solution for (7x^2y+12x)(7x^2y+12x)=0 equation: 


Simplifying
(7x2y + 12x)(7x2y + 12x) = 0

Reorder the terms:
(12x + 7x2y)(7x2y + 12x) = 0

Reorder the terms:
(12x + 7x2y)(12x + 7x2y) = 0

Multiply (12x + 7x2y) * (12x + 7x2y)
(12x * (12x + 7x2y) + 7x2y * (12x + 7x2y)) = 0
((12x * 12x + 7x2y * 12x) + 7x2y * (12x + 7x2y)) = 0
((144x2 + 84x3y) + 7x2y * (12x + 7x2y)) = 0
(144x2 + 84x3y + (12x * 7x2y + 7x2y * 7x2y)) = 0
(144x2 + 84x3y + (84x3y + 49x4y2)) = 0

Combine like terms: 84x3y + 84x3y = 168x3y
(144x2 + 168x3y + 49x4y2) = 0

Solving
144x2 + 168x3y + 49x4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(144 + 168xy + 49x2y2) = 0

Factor a trinomial.
x2((12 + 7xy)(12 + 7xy)) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(12 + 7xy)' equal to zero and attempt to solve:

Simplifying
12 + 7xy = 0

Solving
12 + 7xy = 0

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

Add '-12' to each side of the equation.
12 + -12 + 7xy = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 7xy = 0 + -12
7xy = 0 + -12

Combine like terms: 0 + -12 = -12
7xy = -12

Divide each side by '7y'.
x = -1.714285714y-1

Simplifying
x = -1.714285714y-1

Subproblem 3
Set the factor '(12 + 7xy)' equal to zero and attempt to solve:

Simplifying
12 + 7xy = 0

Solving
12 + 7xy = 0

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

Add '-12' to each side of the equation.
12 + -12 + 7xy = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 7xy = 0 + -12
7xy = 0 + -12

Combine like terms: 0 + -12 = -12
7xy = -12

Divide each side by '7y'.
x = -1.714285714y-1

Simplifying
x = -1.714285714y-1
Solution
x = {0, -1.714285714y-1, -1.714285714y-1}

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