Question

Solve each equation or formula for the specified variables

$\frac{a-4b^2}{2c}=d$for a

Short answer

The value of a for equation $\frac{a-4b^2}{2c}$ is $\mathbf{2}\mathbf{cd}\mathbf{+}\mathbf{4}{\mathbf{b}}^{\mathbf{2}}$.

Step-by-step solution

- Order for simplification 

To evaluate any expression involving more than one operation, follow the below order of operations:

• The expression can be converted into algebraic expression by using the algebra, to find the value of unknown variable.
• Use the equality properties to solve equation.

– Multiply by 2c

To evaluate given expression, first multiply 2c on both sides of the equation.

$\begin{array}{c}\frac{a-4b^2}{2c}\cdot 2c=d\cdot 2c\\ a-4b^2=2cd\end{array}$

– Add 4b2

To simplify further add $4b^2$ on both sides of equation.

$\begin{array}{c}a-4b^2+4b^2=2cd+4b^2\\ a=2cd+4b^2\end{array}$