abs(4u+7)=abs(4u+5)

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Solution for abs(4u+7)=abs(4u+5) equation:


Simplifying
abs(4u + 7) = abs(4u + 5)

Reorder the terms:
abs(7 + 4u) = abs(4u + 5)
(7 * abs + 4u * abs) = abs(4u + 5)
(7abs + 4absu) = abs(4u + 5)

Reorder the terms:
7abs + 4absu = abs(5 + 4u)
7abs + 4absu = (5 * abs + 4u * abs)
7abs + 4absu = (5abs + 4absu)

Add '-4absu' to each side of the equation.
7abs + 4absu + -4absu = 5abs + 4absu + -4absu

Combine like terms: 4absu + -4absu = 0
7abs + 0 = 5abs + 4absu + -4absu
7abs = 5abs + 4absu + -4absu

Combine like terms: 4absu + -4absu = 0
7abs = 5abs + 0
7abs = 5abs

Solving
7abs = 5abs

Solving for variable 'a'.

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

Add '-5abs' to each side of the equation.
7abs + -5abs = 5abs + -5abs

Combine like terms: 7abs + -5abs = 2abs
2abs = 5abs + -5abs

Combine like terms: 5abs + -5abs = 0
2abs = 0

Divide each side by '2'.
abs = 0

Simplifying
abs = 0

The solution to this equation could not be determined.

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