Algebra Examples

$16536.94 = 1700.84 (9.2) - \frac{1}{2} a \cdot {(9.2)}^{2}$

Step 1

Rewrite the equation as $1700.84 (9.2) - \frac{1}{2} a \cdot {9.2}^{2} = 16536.94$ .

$1700.84 (9.2) - \frac{1}{2} a \cdot {9.2}^{2} = 16536.94$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Multiply $1700.84$ by $9.2$ .

$15647.728 - \frac{1}{2} a \cdot {9.2}^{2} = 16536.94$

Step 2.2

Combine $a$ and $\frac{1}{2}$ .

$15647.728 - \frac{a}{2} \cdot {9.2}^{2} = 16536.94$

Step 2.3

Raise $9.2$ to the power of $2$ .

$15647.728 - \frac{a}{2} \cdot 84.64 = 16536.94$

Step 2.4

Multiply $- \frac{a}{2} \cdot 84.64$ .

Tap for more steps...

Step 2.4.1

Multiply $84.64$ by $- 1$ .

$15647.728 - 84.64 \frac{a}{2} = 16536.94$

Step 2.4.2

Combine $- 84.64$ and $\frac{a}{2}$ .

$15647.728 + \frac{- 84.64 a}{2} = 16536.94$

Step 2.5

Move the negative in front of the fraction.

$15647.728 - \frac{84.64 a}{2} = 16536.94$

Step 2.6

Factor $84.64$ out of $84.64 a$ .

$15647.728 - \frac{84.64 (a)}{2} = 16536.94$

Step 2.7

Factor $2$ out of $2$ .

$15647.728 - \frac{84.64 (a)}{2 (1)} = 16536.94$

Step 2.8

Separate fractions.

$15647.728 - (\frac{84.64}{2} \cdot \frac{a}{1}) = 16536.94$

Step 2.9

Divide $84.64$ by $2$ .

$15647.728 - (42.32 \frac{a}{1}) = 16536.94$

Step 2.10

Divide $a$ by $1$ .

$15647.728 - (42.32 a) = 16536.94$

Step 2.11

Multiply $42.32$ by $- 1$ .

$15647.728 - 42.32 a = 16536.94$

Step 3

Move all terms not containing $a$ to the right side of the equation.

Tap for more steps...

Step 3.1

Subtract $15647.728$ from both sides of the equation.

$- 42.32 a = 16536.94 - 15647.728$

Step 3.2

Subtract $15647.728$ from $16536.94$ .

$- 42.32 a = 889.212$

Step 4

Divide each term in $- 42.32 a = 889.212$ by $- 42.32$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $- 42.32 a = 889.212$ by $- 42.32$ .

$\frac{- 42.32 a}{- 42.32} = \frac{889.212}{- 42.32}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $- 42.32$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{- 42.32 a}{- 42.32} = \frac{889.212}{- 42.32}$

Step 4.2.1.2

Divide $a$ by $1$ .

$a = \frac{889.212}{- 42.32}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Divide $889.212$ by $- 42.32$ .

$a = - 21.0116257$