Pregunta
Solve for \( x \) : \[ 0=(x+3)(x-9)(x+5) \] Answer: \( x=\square \) or \( x=\square \)
Ask by Higgins Parry. in South Africa
Mar 08,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( x=-5 \), \( x=-3 \), or \( x=9 \).
Solución
Solve the equation \( 0=(x+3)(x-9)(x+5) \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(0=\left(x+3\right)\left(x-9\right)\left(x+5\right)\)
- step1: Swap the sides:
\(\left(x+3\right)\left(x-9\right)\left(x+5\right)=0\)
- step2: Separate into possible cases:
\(\begin{align}&x+3=0\\&x-9=0\\&x+5=0\end{align}\)
- step3: Solve the equation:
\(\begin{align}&x=-3\\&x=9\\&x=-5\end{align}\)
- step4: Rewrite:
\(x_{1}=-5,x_{2}=-3,x_{3}=9\)
The solutions to the equation \(0=(x+3)(x-9)(x+5)\) are \(x=-5\), \(x=-3\), and \(x=9\).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Mind Expander
To solve for \( x \) in the equation \( 0 = (x+3)(x-9)(x+5) \), we can set each factor equal to zero: 1. \( x + 3 = 0 \) ⟹ \( x = -3 \) 2. \( x - 9 = 0 \) ⟹ \( x = 9 \) 3. \( x + 5 = 0 \) ⟹ \( x = -5 \) Thus, the solutions are: \( x = -3 \), \( x = 9 \), or \( x = -5 \).

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