SOLUTION: i need your help! Can you help me solve this equation? Solve 2x(x+4)(4x-9)=0

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Question 189076: i need your help! Can you help me solve this equation?

Solve 2x(x+4)(4x-9)=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2x%28x%2B4%29%284x-9%29=0 Start with the given equation.


2x=0, x%2B4=0, 4x-9=0 Set each factor equal to zero (use the zero product property)

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Let's solve the first equation:


2x=0 Start with the first equation.


x=0%2F2 Divide both sides by 2.


x=0 Reduce


So the first solution is x=-4

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Let's solve the second equation:


x%2B4=0 Start with the second equation.


x=-4 Subtract 4 from both sides.


So the second solution is x=-4
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Let's solve the third equation:


4x-9=0 Start with the third equation.


4x=9 Add 9 to both sides.


x=9%2F4 Divide both sides by 4.


So the third solution is x=9%2F4


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So the three solutions are x=0, x=-4, or x=9%2F4 (note: the order of the solutions does not matter)