x+3x(x+y)=

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


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

Reorder the terms:
x + (3xy + 3x2) = 0
x + (3xy + 3x2) = 0

Solving
x + 3xy + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + 3y + 3x) = 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 '(1 + 3y + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3y + 3x = 0

Reorder the terms:
1 + 3x + 3y = 0

Solving
1 + 3x + 3y = 0

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

Add '-1' to each side of the equation.
1 + 3x + -1 + 3y = 0 + -1

Reorder the terms:
1 + -1 + 3x + 3y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x + 3y = 0 + -1
3x + 3y = 0 + -1

Combine like terms: 0 + -1 = -1
3x + 3y = -1

Add '-3y' to each side of the equation.
3x + 3y + -3y = -1 + -3y

Combine like terms: 3y + -3y = 0
3x + 0 = -1 + -3y
3x = -1 + -3y

Divide each side by '3'.
x = -0.3333333333 + -1y

Simplifying
x = -0.3333333333 + -1y
Solution
x = {0, -0.3333333333 + -1y}

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