Q58. - Algebra 2

Question

Solve each equation or formula for the specified variable.

$x=\frac{-b}{2a}$, for a.

Step-by-Step Solution

Answer

The required answer is $a=-\frac{b}{2x}$.

Step 1- Multiply 2 a on both sides

Perform multiplication of 2a on both the sides of equation.

$\begin{array}{c}2a\left(x\right)=2a\left(\frac{-b}{2a}\right)\\ 2ax=-b\end{array}$

Step 2 – Isolate the variable a

Perform division of 2x on both the sides of the equation.

$\begin{array}{c}\frac{2ax}{2x}=\frac{-b}{2x}\\ a=-\frac{b}{2x}\end{array}$

Step 3- Make the conclusion

As the variable a is isolated so the value equivalent to it represents its value.