x^2+4x+2=2

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Solution for x^2+4x+2=2 equation: 


Simplifying
x2 + 4x + 2 = 2

Reorder the terms:
2 + 4x + x2 = 2

Add '-2' to each side of the equation.
2 + 4x + -2 + x2 = 2 + -2

Reorder the terms:
2 + -2 + 4x + x2 = 2 + -2

Combine like terms: 2 + -2 = 0
0 + 4x + x2 = 2 + -2
4x + x2 = 2 + -2

Combine like terms: 2 + -2 = 0
4x + x2 = 0

Solving
4x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + 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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

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

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {0, -4}

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