3(4x^2y^3+2x^2)+4(2x^2+3x^2y^3)=

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Solution for 3(4x^2y^3+2x^2)+4(2x^2+3x^2y^3)= equation: 


Simplifying
3(4x2y3 + 2x2) + 4(2x2 + 3x2y3) = 0

Reorder the terms:
3(2x2 + 4x2y3) + 4(2x2 + 3x2y3) = 0
(2x2 * 3 + 4x2y3 * 3) + 4(2x2 + 3x2y3) = 0
(6x2 + 12x2y3) + 4(2x2 + 3x2y3) = 0
6x2 + 12x2y3 + (2x2 * 4 + 3x2y3 * 4) = 0
6x2 + 12x2y3 + (8x2 + 12x2y3) = 0

Reorder the terms:
6x2 + 8x2 + 12x2y3 + 12x2y3 = 0

Combine like terms: 6x2 + 8x2 = 14x2
14x2 + 12x2y3 + 12x2y3 = 0

Combine like terms: 12x2y3 + 12x2y3 = 24x2y3
14x2 + 24x2y3 = 0

Solving
14x2 + 24x2y3 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(7 + 12y3) = 0

Ignore the factor 2.

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 '(7 + 12y3)' equal to zero and attempt to solve:

Simplifying
7 + 12y3 = 0

Solving
7 + 12y3 = 0

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

Add '-7' to each side of the equation.
7 + -7 + 12y3 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 12y3 = 0 + -7
12y3 = 0 + -7

Combine like terms: 0 + -7 = -7
12y3 = -7

Add '-12y3' to each side of the equation.
12y3 + -12y3 = -7 + -12y3

Combine like terms: 12y3 + -12y3 = 0
0 = -7 + -12y3

Simplifying
0 = -7 + -12y3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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