Question

solve $25c + 10c^2 = 0$.

$c = \square$, $c = \square$

Explanation:

Step1: Factor out common term

$10c^2 + 25c = 5c(2c + 5) = 0$

Step2: Set factors to zero

$5c = 0$ or $2c + 5 = 0$

Step3: Solve for c

For $5c=0$: $c=0$; For $2c+5=0$: $c=-\frac{5}{2}$

Answer:

$c = 0$, $c = -\frac{5}{2}$