7xy^2(3x^2y^3+6xy)=

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Solution for 7xy^2(3x^2y^3+6xy)= equation: 


Simplifying
7xy2(3x2y3 + 6xy) = 0

Reorder the terms:
7xy2(6xy + 3x2y3) = 0
(6xy * 7xy2 + 3x2y3 * 7xy2) = 0
(42x2y3 + 21x3y5) = 0

Solving
42x2y3 + 21x3y5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '21x2y3'.
21x2y3(2 + xy2) = 0

Ignore the factor 21.

Subproblem 1
Set the factor 'x2y3' equal to zero and attempt to solve:

Simplifying
x2y3 = 0

Solving
x2y3 = 0

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

Simplifying
x2y3 = 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 '(2 + xy2)' equal to zero and attempt to solve:

Simplifying
2 + xy2 = 0

Solving
2 + xy2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + xy2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + xy2 = 0 + -2
xy2 = 0 + -2

Combine like terms: 0 + -2 = -2
xy2 = -2

Divide each side by 'y2'.
x = -2y-2

Simplifying
x = -2y-2
Solution
x = {-2y-2}

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