Algebra Examples

$F = k \frac{q Q}{r^{2}}$

Step 1

Rewrite the equation as

$k (\frac{q Q}{r^{2}}) = F$ .

$k (\frac{q Q}{r^{2}}) = F$

Step 2

Combine

$k$ and

$\frac{q Q}{r^{2}}$ .

$\frac{k q Q}{r^{2}} = F$

Step 3

Multiply both sides by

$r^{2}$ .

$\frac{k q Q}{r^{2}} r^{2} = F r^{2}$

Step 4

Simplify the left side.

Tap for more steps...

Step 4.1

Cancel the common factor of

$r^{2}$ .

Tap for more steps...

Step 4.1.1

Cancel the common factor.

$\frac{k q Q}{r^{2}} r^{2} = F r^{2}$

Step 4.1.2

Rewrite the expression.

$k q Q = F r^{2}$

$k q Q = F r^{2}$

$k q Q = F r^{2}$

Step 5

Divide each term in

$k q Q = F r^{2}$ by

$q Q$ and simplify.

Tap for more steps...

Step 5.1

Divide each term in

$k q Q = F r^{2}$ by

$q Q$ .

$\frac{k q Q}{q Q} = \frac{F r^{2}}{q Q}$

Step 5.2

Simplify the left side.

Tap for more steps...

Step 5.2.1

Cancel the common factor of

$q$ .

Tap for more steps...

Step 5.2.1.1

Cancel the common factor.

$\frac{k q Q}{q Q} = \frac{F r^{2}}{q Q}$

Step 5.2.1.2

Rewrite the expression.

$\frac{k Q}{Q} = \frac{F r^{2}}{q Q}$

$\frac{k Q}{Q} = \frac{F r^{2}}{q Q}$

Step 5.2.2

Cancel the common factor of

$Q$ .

Tap for more steps...

Step 5.2.2.1

Cancel the common factor.

$\frac{k Q}{Q} = \frac{F r^{2}}{q Q}$

Step 5.2.2.2

Divide

$k$ by

$1$ .

$k = \frac{F r^{2}}{q Q}$

$k = \frac{F r^{2}}{q Q}$

$k = \frac{F r^{2}}{q Q}$

$k = \frac{F r^{2}}{q Q}$

$F = k \frac{q Q}{r^{2}}$

(

(

)

)

|

|

[

[

]

]

√

√





≥

≥





















7

7

8

8

9

9













≤

≤





















4

4

5

5

6

6

/

/

^

^

×

×

>

>









∩

∩

∪

∪





1

1

2

2

3

3

-

-

+

+

÷

÷

<

<









π

π

∞

∞



,

,

0

0

.

.

%

%



=

=









$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$