Question

solve for x.
13x² - 20x = 0
write each solution as an integer, proper fraction, or improper fraction in simplest form.
if there are multiple solutions, separate them with commas.
x =

Explanation:

Step1: Factor out the common factor

Factor out $k$ from $11k^{2}-20k = 0$. We get $k(11k - 20)=0$.

Step2: Apply the zero - product property

If $ab = 0$, then either $a = 0$ or $b = 0$. So, $k=0$ or $11k-20 = 0$.

Step3: Solve for $k$ in $11k - 20=0$

Add 20 to both sides: $11k=20$. Then divide both sides by 11, we get $k=\frac{20}{11}$.

Answer:

$0,\frac{20}{11}$