-5x(2x+7xy)+7xy-4x(xy+3y)=

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Solution for -5x(2x+7xy)+7xy-4x(xy+3y)= equation: 


Simplifying
-5x(2x + 7xy) + 7xy + -4x(xy + 3y) = 0
(2x * -5x + 7xy * -5x) + 7xy + -4x(xy + 3y) = 0
(-10x2 + -35x2y) + 7xy + -4x(xy + 3y) = 0
-10x2 + -35x2y + 7xy + (xy * -4x + 3y * -4x) = 0

Reorder the terms:
-10x2 + -35x2y + 7xy + (-12xy + -4x2y) = 0
-10x2 + -35x2y + 7xy + (-12xy + -4x2y) = 0

Reorder the terms:
7xy + -12xy + -10x2 + -35x2y + -4x2y = 0

Combine like terms: 7xy + -12xy = -5xy
-5xy + -10x2 + -35x2y + -4x2y = 0

Combine like terms: -35x2y + -4x2y = -39x2y
-5xy + -10x2 + -39x2y = 0

Solving
-5xy + -10x2 + -39x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(5y + 10x + 39xy) = 0

Ignore the factor -1.

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 '(5y + 10x + 39xy)' equal to zero and attempt to solve:

Simplifying
5y + 10x + 39xy = 0

Reorder the terms:
10x + 39xy + 5y = 0

Solving
10x + 39xy + 5y = 0

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

Add '-5y' to each side of the equation.
10x + 39xy + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
10x + 39xy + 0 = 0 + -5y
10x + 39xy = 0 + -5y
Remove the zero:
10x + 39xy = -5y

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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