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kodGreya [7K]
3 years ago
5

Solve 5x(x-6)(4x+9)=0

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
8 0
Greetings and Happy Holidays!

Solve 
for x.
5x(x-6)(4x+9)=0<span>

Distribute the parenthesis:
</span>5x(x-6)(4x+9)=0

(5x^2-30x)(4x+9)=0

(20x^3-120x^2)+(45x^2-270x)=0

Combine like terms:
20x^3-75x^2-270x=0

Factor out GCF (5x):
5x(4x^2-15x-54)=0

Factor the Complex Trinomial:
5x(4x^2+9x-24x-54)=0

5x(x(4x+9)-6(4x-9))=0

5x((4x+9)(x-6))=0

Set Factors to Equal 0:
5x=0

x=0

or

4x+9=0

4x=-9

x=\frac{-9}{4}

or

x-6=0

x=6

The Answers Are:
\boxed{x=0} \\ \boxed{x= \frac{-9}{4}} \\ \boxed{x=6}

I hope this helped!
-Benjamin

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