What is the answer to (A+20)((120)/A-1)=120 ?

The answer to (A+20)((120)/A-1)=120 is A=-60,A=40

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(A+20)((120)/A-1)=120

(A + 20) (\frac{120}{A} - 1) = 120

A = - 60, A = 40

Solution steps

(A + 20) (\frac{120}{A} - 1) = 120

Simplify

(A + 20) (\frac{120}{A} - 1) : - A + \frac{2400}{A} + 100

- A + \frac{2400}{A} + 100 = 120

Multiply both sides by

A

- A^{2} + 2400 + 100 A = 120 A

Solve

- A^{2} + 2400 + 100 A = 120 A : A = - 60, A = 40

A = - 60, A = 40

Verify Solutions

Find undefined (singularity) points:

A = 0

Combine undefined points with solutions:

A = - 60, A = 40

\frac{15}{x} = 5

x, \frac{k}{x} = v w

\frac{2}{x} = 10

\frac{x + 3}{x - 2} = \frac{8}{3}

64 x^{- 4} - 20 x^{- 2} + 1 = 0

What is the answer to (A+20)((120)/A-1)=120 ?
The answer to (A+20)((120)/A-1)=120 is A=-60,A=40
Solve for A: (A+20)((120)/A-1)=120
The solution is A=-60,A=40