Solve for F 1854.189(cos(20))+F(cos(73))=3708.379

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

Simplify each term.

Evaluate $\cos (20)$ .

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

Multiply $1854.189$ by $0.93969262$ .

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

Evaluate $\cos (73)$ .

$1742.36772084 + F \cdot 0.2923717 = 3708.379$

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

$1742.36772084 + 0.2923717 F = 3708.379$

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

Subtract $1742.36772084$ from both sides of the equation.

$0.2923717 F = 3708.379 - 1742.36772084$

Subtract $1742.36772084$ from $3708.379$ .

$0.2923717 F = 1966.01127915$

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

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

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

Simplify the left side.

Cancel the common factor of $0.2923717$ .

Cancel the common factor.

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

Divide $F$ by $1$ .

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

Simplify the right side.

Divide $1966.01127915$ by $0.2923717$ .

$F = 6724.35549473$

Solve for F 1854.189*(cos(20))+F*(cos(73))=3708.379