Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

5v² = -30v if there is more than one solution, separate them with comma…

Question

5v² = -30v
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.
v =

Explanation:

Step1: Mover todos los términos a un lado

Mover \(-30v\) al lado izquierdo: \(5v^2 + 30v = 0\)

Step2: Factorizar el término común

Factorizar \(5v\) de la ecuación: \(5v(v + 6) = 0\)

Step3: Aplicar la propiedad del producto cero

Si \(ab = 0\), entonces \(a = 0\) o \(b = 0\). Entonces:

  • \(5v = 0\) ⇒ \(v = 0\)
  • \(v + 6 = 0\) ⇒ \(v = -6\)

Answer:

\(0, -6\)