-2x-2+-4x-1x^2+4x+2=0

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Solution for -2x-2+-4x-1x^2+4x+2=0 equation: 


Simplifying
-2x + -2 + -4x + -1x2 + 4x + 2 = 0

Reorder the terms:
-2 + 2 + -2x + -4x + 4x + -1x2 = 0

Combine like terms: -2 + 2 = 0
0 + -2x + -4x + 4x + -1x2 = 0
-2x + -4x + 4x + -1x2 = 0

Combine like terms: -2x + -4x = -6x
-6x + 4x + -1x2 = 0

Combine like terms: -6x + 4x = -2x
-2x + -1x2 = 0

Solving
-2x + -1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(2 + x) = 0

Ignore the factor -1.

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 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2
Solution
x = {0, -2}

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