5(6x-(5+3y+4x)14y)=

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Solution for 5(6x-(5+3y+4x)14y)= equation: 


Simplifying
5(6x + -1(5 + 3y + 4x) * 14y) = 0

Reorder the terms:
5(6x + -1(5 + 4x + 3y) * 14y) = 0

Reorder the terms for easier multiplication:
5(6x + -1 * 14y(5 + 4x + 3y)) = 0

Multiply -1 * 14
5(6x + -14y(5 + 4x + 3y)) = 0
5(6x + (5 * -14y + 4x * -14y + 3y * -14y)) = 0

Reorder the terms:
5(6x + (-56xy + -70y + -42y2)) = 0
5(6x + (-56xy + -70y + -42y2)) = 0
(6x * 5 + -56xy * 5 + -70y * 5 + -42y2 * 5) = 0
(30x + -280xy + -350y + -210y2) = 0

Solving
30x + -280xy + -350y + -210y2 = 0

Solving for variable 'x'.

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

Add '350y' to each side of the equation.
30x + -280xy + -350y + 350y + -210y2 = 0 + 350y

Combine like terms: -350y + 350y = 0
30x + -280xy + 0 + -210y2 = 0 + 350y
30x + -280xy + -210y2 = 0 + 350y
Remove the zero:
30x + -280xy + -210y2 = 350y

Add '210y2' to each side of the equation.
30x + -280xy + -210y2 + 210y2 = 350y + 210y2

Combine like terms: -210y2 + 210y2 = 0
30x + -280xy + 0 = 350y + 210y2
30x + -280xy = 350y + 210y2

Reorder the terms:
30x + -280xy + -350y + -210y2 = 350y + -350y + 210y2 + -210y2

Combine like terms: 350y + -350y = 0
30x + -280xy + -350y + -210y2 = 0 + 210y2 + -210y2
30x + -280xy + -350y + -210y2 = 210y2 + -210y2

Combine like terms: 210y2 + -210y2 = 0
30x + -280xy + -350y + -210y2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(3x + -28xy + -35y + -21y2) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(3x + -28xy + -35y + -21y2)' equal to zero and attempt to solve:

Simplifying
3x + -28xy + -35y + -21y2 = 0

Solving
3x + -28xy + -35y + -21y2 = 0

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

Add '35y' to each side of the equation.
3x + -28xy + -35y + 35y + -21y2 = 0 + 35y

Combine like terms: -35y + 35y = 0
3x + -28xy + 0 + -21y2 = 0 + 35y
3x + -28xy + -21y2 = 0 + 35y
Remove the zero:
3x + -28xy + -21y2 = 35y

Add '21y2' to each side of the equation.
3x + -28xy + -21y2 + 21y2 = 35y + 21y2

Combine like terms: -21y2 + 21y2 = 0
3x + -28xy + 0 = 35y + 21y2
3x + -28xy = 35y + 21y2

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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