abs(x^2+3x)=abs(x^2+x+5)+abs(x-5)

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Solution for abs(x^2+3x)=abs(x^2+x+5)+abs(x-5) equation:


Simplifying
abs(x2 + 3x) = abs(x2 + x + 5) + abs(x + -5)

Reorder the terms:
abs(3x + x2) = abs(x2 + x + 5) + abs(x + -5)
(3x * abs + x2 * abs) = abs(x2 + x + 5) + abs(x + -5)
(3absx + absx2) = abs(x2 + x + 5) + abs(x + -5)

Reorder the terms:
3absx + absx2 = abs(5 + x + x2) + abs(x + -5)
3absx + absx2 = (5 * abs + x * abs + x2 * abs) + abs(x + -5)
3absx + absx2 = (5abs + absx + absx2) + abs(x + -5)

Reorder the terms:
3absx + absx2 = 5abs + absx + absx2 + abs(-5 + x)
3absx + absx2 = 5abs + absx + absx2 + (-5 * abs + x * abs)
3absx + absx2 = 5abs + absx + absx2 + (-5abs + absx)

Reorder the terms:
3absx + absx2 = 5abs + -5abs + absx + absx + absx2

Combine like terms: 5abs + -5abs = 0
3absx + absx2 = 0 + absx + absx + absx2
3absx + absx2 = absx + absx + absx2

Combine like terms: absx + absx = 2absx
3absx + absx2 = 2absx + absx2

Add '-1absx2' to each side of the equation.
3absx + absx2 + -1absx2 = 2absx + absx2 + -1absx2

Combine like terms: absx2 + -1absx2 = 0
3absx + 0 = 2absx + absx2 + -1absx2
3absx = 2absx + absx2 + -1absx2

Combine like terms: absx2 + -1absx2 = 0
3absx = 2absx + 0
3absx = 2absx

Solving
3absx = 2absx

Solving for variable 'a'.

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

Add '-2absx' to each side of the equation.
3absx + -2absx = 2absx + -2absx

Combine like terms: 3absx + -2absx = 1absx
1absx = 2absx + -2absx

Combine like terms: 2absx + -2absx = 0
1absx = 0

Divide each side by '1'.
absx = 0

Simplifying
absx = 0

The solution to this equation could not be determined.

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