abs(x^2-2x-8)+abs(x^2-8x+15)=6x-23

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Solution for abs(x^2-2x-8)+abs(x^2-8x+15)=6x-23 equation:


Simplifying
abs(x2 + -2x + -8) + abs(x2 + -8x + 15) = 6x + -23

Reorder the terms:
abs(-8 + -2x + x2) + abs(x2 + -8x + 15) = 6x + -23
(-8 * abs + -2x * abs + x2 * abs) + abs(x2 + -8x + 15) = 6x + -23
(-8abs + -2absx + absx2) + abs(x2 + -8x + 15) = 6x + -23

Reorder the terms:
-8abs + -2absx + absx2 + abs(15 + -8x + x2) = 6x + -23
-8abs + -2absx + absx2 + (15 * abs + -8x * abs + x2 * abs) = 6x + -23
-8abs + -2absx + absx2 + (15abs + -8absx + absx2) = 6x + -23

Reorder the terms:
-8abs + 15abs + -2absx + -8absx + absx2 + absx2 = 6x + -23

Combine like terms: -8abs + 15abs = 7abs
7abs + -2absx + -8absx + absx2 + absx2 = 6x + -23

Combine like terms: -2absx + -8absx = -10absx
7abs + -10absx + absx2 + absx2 = 6x + -23

Combine like terms: absx2 + absx2 = 2absx2
7abs + -10absx + 2absx2 = 6x + -23

Reorder the terms:
7abs + -10absx + 2absx2 = -23 + 6x

Solving
7abs + -10absx + 2absx2 = -23 + 6x

Solving for variable 'a'.

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

Reorder the terms:
23 + 7abs + -10absx + 2absx2 + -6x = -23 + 6x + 23 + -6x

Reorder the terms:
23 + 7abs + -10absx + 2absx2 + -6x = -23 + 23 + 6x + -6x

Combine like terms: -23 + 23 = 0
23 + 7abs + -10absx + 2absx2 + -6x = 0 + 6x + -6x
23 + 7abs + -10absx + 2absx2 + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
23 + 7abs + -10absx + 2absx2 + -6x = 0

The solution to this equation could not be determined.

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