Chapter 1: Q32. (page 49)

Solve each equation or formula for the specified variables
$\frac{a - 4 b^{2}}{2 c} = d$ for a

Short Answer

Expert verified

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

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.

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

– Add 4b2

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

$\begin{matrix} a - 4 b^{2} + 4 b^{2} = 2 c d + 4 b^{2} \\ a = 2 c d + 4 b^{2} \end{matrix}$

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Solve each equation or formula for the specified variables
$\frac{a - 4 b^{2}}{2 c} = d$ for a

Short Answer

Step by step solution

- Order for simplification

– Multiply by 2c

– Add 4b2

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Solve each equation or formula for the specified variablesa-4b22c=dfor a

Short Answer

Step by step solution

- Order for simplification

– Multiply by 2c

– Add 4b2

One App. One Place for Learning.

Most popular questions from this chapter

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Solve each equation or formula for the specified variables
$\frac{a - 4 b^{2}}{2 c} = d$ for a