x^2-3abs(x)+1=0

Solution for x^2-3abs(x)+1=0 equation:

Simplifying
x2 + -3abs(x) + 1 = 0

Multiply abs * x
x2 + -3absx + 1 = 0

Reorder the terms:
1 + -3absx + x2 = 0

Solving
1 + -3absx + x2 = 0

Solving for variable 'a'.

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

Add '-1' to each side of the equation.
1 + -3absx + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -3absx + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3absx + x2 = 0 + -1
-3absx + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-3absx + x2 = -1

Add '-1x2' to each side of the equation.
-3absx + x2 + -1x2 = -1 + -1x2

Combine like terms: x2 + -1x2 = 0
-3absx + 0 = -1 + -1x2
-3absx = -1 + -1x2

Divide each side by '-3bsx'.
a = 0.3333333333b-1s-1x-1 + 0.3333333333b-1s-1x

Simplifying
a = 0.3333333333b-1s-1x-1 + 0.3333333333b-1s-1x