3x^2(2y+5x)-2xy(3x+x^2-7)=

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Solution for 3x^2(2y+5x)-2xy(3x+x^2-7)= equation: 


Simplifying
3x2(2y + 5x) + -2xy(3x + x2 + -7) = 0

Reorder the terms:
3x2(5x + 2y) + -2xy(3x + x2 + -7) = 0
(5x * 3x2 + 2y * 3x2) + -2xy(3x + x2 + -7) = 0

Reorder the terms:
(6x2y + 15x3) + -2xy(3x + x2 + -7) = 0
(6x2y + 15x3) + -2xy(3x + x2 + -7) = 0

Reorder the terms:
6x2y + 15x3 + -2xy(-7 + 3x + x2) = 0
6x2y + 15x3 + (-7 * -2xy + 3x * -2xy + x2 * -2xy) = 0
6x2y + 15x3 + (14xy + -6x2y + -2x3y) = 0

Reorder the terms:
14xy + 6x2y + -6x2y + 15x3 + -2x3y = 0

Combine like terms: 6x2y + -6x2y = 0
14xy + 0 + 15x3 + -2x3y = 0
14xy + 15x3 + -2x3y = 0

Solving
14xy + 15x3 + -2x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(14y + 15x2 + -2x2y) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(14y + 15x2 + -2x2y)' equal to zero and attempt to solve:

Simplifying
14y + 15x2 + -2x2y = 0

Reorder the terms:
15x2 + -2x2y + 14y = 0

Solving
15x2 + -2x2y + 14y = 0

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

Add '-14y' to each side of the equation.
15x2 + -2x2y + 14y + -14y = 0 + -14y

Combine like terms: 14y + -14y = 0
15x2 + -2x2y + 0 = 0 + -14y
15x2 + -2x2y = 0 + -14y
Remove the zero:
15x2 + -2x2y = -14y

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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