abs(x^2-4)+abs(2a+x)=0

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Solution for abs(x^2-4)+abs(2a+x)=0 equation: 


Simplifying
abs(x2 + -4) + abs(2a + x) = 0

Reorder the terms:
abs(-4 + x2) + abs(2a + x) = 0
(-4 * abs + x2 * abs) + abs(2a + x) = 0
(-4abs + absx2) + abs(2a + x) = 0
-4abs + absx2 + (2a * abs + x * abs) = 0

Reorder the terms:
-4abs + absx2 + (absx + 2a2bs) = 0
-4abs + absx2 + (absx + 2a2bs) = 0

Reorder the terms:
-4abs + absx + absx2 + 2a2bs = 0

Solving
-4abs + absx + absx2 + 2a2bs = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'abs'.
abs(-4 + x + x2 + 2a) = 0


Subproblem 1
Set the factor 'abs' equal to zero and attempt to solve:

Simplifying
abs = 0

Solving
abs = 0

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

Simplifying
abs = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-4 + x + x2 + 2a)' equal to zero and attempt to solve:

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

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

Solving
-4 + 2a + x + x2 = 0

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

Add '4' to each side of the equation.
-4 + 2a + x + 4 + x2 = 0 + 4

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

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

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

Add '-1x' to each side of the equation.
2a + x + -1x + x2 = 4 + -1x

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

Add '-1x2' to each side of the equation.
2a + x2 + -1x2 = 4 + -1x + -1x2

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

Divide each side by '2'.
a = 2 + -0.5x + -0.5x2

Simplifying
a = 2 + -0.5x + -0.5x2
Solution
a = {2 + -0.5x + -0.5x2}

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