Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve for q. -5q² = 0 write your answer in simplified, rationalized for…

Question

solve for q.
-5q² = 0
write your answer in simplified, rationalized form.
q = or q =

Explanation:

Step1: Divide both sides by -5

To isolate \( q^2 \), we divide both sides of the equation \(-5q^2 = 0\) by \(-5\). This gives us \( q^2=\frac{0}{-5} \), which simplifies to \( q^2 = 0 \).

Step2: Take square root of both sides

Taking the square root of both sides of the equation \( q^2 = 0 \), we get \( q=\pm\sqrt{0} \). Since the square root of 0 is 0, this simplifies to \( q = 0 \) (with a multiplicity of 2, so both solutions are 0).

Answer:

\( q = 0 \) or \( q = 0 \)