Question

Question was provided via image upload.

Explanation:

Step1: Isolate F in the equation

Multiply both sides by $F$:
$3.9x^2 + 6.6x = F(1.3x^2 + 2.2x)$

Step2: Factor right-hand side

Factor out $1.3x$ from the right term:
$3.9x^2 + 6.6x = F \cdot 1.3x(x + 2)$
Factor out $3.9x$ from the left term:
$3.9x(x + 2) = F \cdot 1.3x(x + 2)$

Step3: Solve for F

Divide both sides by $1.3x(x + 2)$ (for $x
eq 0, -2$):
$F = \frac{3.9x(x + 2)}{1.3x(x + 2)}$

Step4: Simplify the expression

Cancel common terms:
$F = \frac{3.9}{1.3}$

Answer:

$3$