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

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


Simplifying
3x(2y + 4) + 2x(y + -5) = 0

Reorder the terms:
3x(4 + 2y) + 2x(y + -5) = 0
(4 * 3x + 2y * 3x) + 2x(y + -5) = 0
(12x + 6xy) + 2x(y + -5) = 0

Reorder the terms:
12x + 6xy + 2x(-5 + y) = 0
12x + 6xy + (-5 * 2x + y * 2x) = 0
12x + 6xy + (-10x + 2xy) = 0

Reorder the terms:
12x + -10x + 6xy + 2xy = 0

Combine like terms: 12x + -10x = 2x
2x + 6xy + 2xy = 0

Combine like terms: 6xy + 2xy = 8xy
2x + 8xy = 0

Solving
2x + 8xy = 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), '2x'.
2x(1 + 4y) = 0

Ignore the factor 2.

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 '(1 + 4y)' equal to zero and attempt to solve:

Simplifying
1 + 4y = 0

Solving
1 + 4y = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4y = 0 + -1
4y = 0 + -1

Combine like terms: 0 + -1 = -1
4y = -1

Add '-4y' to each side of the equation.
4y + -4y = -1 + -4y

Combine like terms: 4y + -4y = 0
0 = -1 + -4y

Simplifying
0 = -1 + -4y

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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