x^2y(3x+2y-7)=0

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Solution for x^2y(3x+2y-7)=0 equation: 


Simplifying
x2y(3x + 2y + -7) = 0

Reorder the terms:
x2y(-7 + 3x + 2y) = 0
(-7 * x2y + 3x * x2y + 2y * x2y) = 0

Reorder the terms:
(-7x2y + 2x2y2 + 3x3y) = 0
(-7x2y + 2x2y2 + 3x3y) = 0

Solving
-7x2y + 2x2y2 + 3x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2y'.
x2y(-7 + 2y + 3x) = 0


Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve:

Simplifying
x2y = 0

Solving
x2y = 0

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

Simplifying
x2y = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

Simplifying
-7 + 2y + 3x = 0

Reorder the terms:
-7 + 3x + 2y = 0

Solving
-7 + 3x + 2y = 0

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

Add '7' to each side of the equation.
-7 + 3x + 7 + 2y = 0 + 7

Reorder the terms:
-7 + 7 + 3x + 2y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3x + 2y = 0 + 7
3x + 2y = 0 + 7

Combine like terms: 0 + 7 = 7
3x + 2y = 7

Add '-2y' to each side of the equation.
3x + 2y + -2y = 7 + -2y

Combine like terms: 2y + -2y = 0
3x + 0 = 7 + -2y
3x = 7 + -2y

Divide each side by '3'.
x = 2.333333333 + -0.6666666667y

Simplifying
x = 2.333333333 + -0.6666666667y
Solution
x = {2.333333333 + -0.6666666667y}

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