Chemistry Examples

$1854.189 \cdot (\cos (20)) + F \cdot (\cos (73)) = 3708.379$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Evaluate $\cos (20)$ .

$1854.189 \cdot 0.93969262 + F \cdot (\cos (73)) = 3708.379$

Step 1.2

Multiply $1854.189$ by $0.93969262$ .

$1742.36772084 + F \cdot (\cos (73)) = 3708.379$

Step 1.3

Evaluate $\cos (73)$ .

$1742.36772084 + F \cdot 0.2923717 = 3708.379$

Step 1.4

Move $0.2923717$ to the left of $F$ .

$1742.36772084 + 0.2923717 F = 3708.379$

Step 2

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

Tap for more steps...

Step 2.1

Subtract $1742.36772084$ from both sides of the equation.

$0.2923717 F = 3708.379 - 1742.36772084$

Step 2.2

Subtract $1742.36772084$ from $3708.379$ .

$0.2923717 F = 1966.01127915$

Step 3

Divide each term in $0.2923717 F = 1966.01127915$ by $0.2923717$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $0.2923717 F = 1966.01127915$ by $0.2923717$ .

$\frac{0.2923717 F}{0.2923717} = \frac{1966.01127915}{0.2923717}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $0.2923717$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{0.2923717 F}{0.2923717} = \frac{1966.01127915}{0.2923717}$

Step 3.2.1.2

Divide $F$ by $1$ .

$F = \frac{1966.01127915}{0.2923717}$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Divide $1966.01127915$ by $0.2923717$ .

$F = 6724.35549473$