a=h(b+c) solve for c

Mathematics · High School · Sun Jan 24 2021

Answered on

Given the equation:

a = h(b + c)

Solve for c.

Solution:

In order to solve for c, we distribute first h to each value inside the parenthesis.

a = h(b + c)

a = bh + ch

Transpose bh on the other side of the equation, hence it must be taken to note that in transposing a value or a term, the sign changes.

ch = a - bh

Divide both sides by h in order to cancel out ch, leaving behind c. 

ch/h = a/h - bh/h

c = a/h - b

Final answer:

c = a/h - b

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