Question
Solve for \( x \). \[ 5 x^{2}+20 x=0 \] If there is more than one solution, separate them with comma include spaces or variables). \[ x= \]
Ask by Burton Young. in the United States
Mar 17,2025
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\( x = -4, 0 \)
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The Deep Dive
To solve the equation \( 5x^{2} + 20x = 0 \), we can factor out the common term: \[ 5x(x + 4) = 0 \] This gives us two possible solutions: 1. \( 5x = 0 \) which simplifies to \( x = 0 \) 2. \( x + 4 = 0 \) which simplifies to \( x = -4 \) So the solutions are: \[ x = 0, -4 \]