$$ 2 A B=B+50 \quad $$ for $$ A $$

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UpStudy AI · Accepted Answer

To solve the equation $$ 2AB = B + 50 $$ for $$ A $$, we will isolate $$ A $$ step by step.

1. Start with the original equation:
   $$
   2AB = B + 50
   $$

2. To isolate $$ A $$, divide both sides by $$ 2B $$ (assuming $$ B \neq 0 $$):
   $$
   A = \frac{B + 50}{2B}
   $$

Now, let's express this in a simplified form.
Divide the polynomials by following steps:
- step0: Using Long Division to Divide Polynomials:
  $$\frac{B+50}{2B}$$
- step1: Calculate:
  $$\frac{1}{2}+\frac{50}{2B}$$
The expression for $$ A $$ can be simplified to:

$$
A = \frac{1}{2} + \frac{50}{2B}
$$

Thus, the solution for $$ A $$ in terms of $$ B $$ is:

$$
A = \frac{1}{2} + \frac{25}{B}
$$
$$ A = \frac{1}{2} + \frac{25}{B} $$

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