Basic Math Examples

$4 = 9 - A \cdot {0.37}^{θ}$

Step 1

Rewrite the equation as $9 - A \cdot {0.37}^{θ} = 4$ .

$9 - A \cdot {0.37}^{θ} = 4$

Step 2

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

Tap for more steps...

Step 2.1

Subtract $9$ from both sides of the equation.

$- A \cdot {0.37}^{θ} = 4 - 9$

Step 2.2

Subtract $9$ from $4$ .

$- A \cdot {0.37}^{θ} = - 5$

Step 3

Divide each term in $- A \cdot {0.37}^{θ} = - 5$ by $- {0.37}^{θ}$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $- A \cdot {0.37}^{θ} = - 5$ by $- {0.37}^{θ}$ .

$\frac{- A \cdot {0.37}^{θ}}{- {0.37}^{θ}} = \frac{- 5}{- {0.37}^{θ}}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{A \cdot {0.37}^{θ}}{{0.37}^{θ}} = \frac{- 5}{- {0.37}^{θ}}$

Step 3.2.2

Cancel the common factor of ${0.37}^{θ}$ .

Tap for more steps...

Step 3.2.2.1

Cancel the common factor.

$\frac{A \cdot {0.37}^{θ}}{{0.37}^{θ}} = \frac{- 5}{- {0.37}^{θ}}$

Step 3.2.2.2

Divide $A$ by $1$ .

$A = \frac{- 5}{- {0.37}^{θ}}$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Dividing two negative values results in a positive value.

$A = \frac{5}{{0.37}^{θ}}$