x+x+x+3*x+x+x*x=0

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Solution for x+x+x+3*x+x+x*x=0 equation: 


Simplifying
x + x + x + 3x + x + x * x = 0

Multiply x * x
x + x + x + 3x + x + x2 = 0

Combine like terms: x + x = 2x
2x + x + 3x + x + x2 = 0

Combine like terms: 2x + x = 3x
3x + 3x + x + x2 = 0

Combine like terms: 3x + 3x = 6x
6x + x + x2 = 0

Combine like terms: 6x + x = 7x
7x + x2 = 0

Solving
7x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + x) = 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 '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {0, -7}

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