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

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


Simplifying
4x + 2x(x + 3y) = 0
4x + (x * 2x + 3y * 2x) = 0

Reorder the terms:
4x + (6xy + 2x2) = 0
4x + (6xy + 2x2) = 0

Solving
4x + 6xy + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(2 + 3y + x) = 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 '(2 + 3y + x)' equal to zero and attempt to solve:

Simplifying
2 + 3y + x = 0

Reorder the terms:
2 + x + 3y = 0

Solving
2 + x + 3y = 0

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

Add '-2' to each side of the equation.
2 + x + -2 + 3y = 0 + -2

Reorder the terms:
2 + -2 + x + 3y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x + 3y = 0 + -2
x + 3y = 0 + -2

Combine like terms: 0 + -2 = -2
x + 3y = -2

Add '-3y' to each side of the equation.
x + 3y + -3y = -2 + -3y

Combine like terms: 3y + -3y = 0
x + 0 = -2 + -3y
x = -2 + -3y

Simplifying
x = -2 + -3y
Solution
x = {0, -2 + -3y}

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