SOLUTION: Solve the equation. Show all work 3x^3-4x^2-27x+36=0

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Question 439840: Solve the equation. Show all work
3x^3-4x^2-27x+36=0
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
We solve this equation by factoring:3x%28x%5E2-9%29-4%28x%5E2-9%29=%283x-4%29%28x-3%29%28x%2B3%29=0
To solve now the equation:%283x-4%29%28x-3%29%28x%2B3%29=0we set to zero:
3x-4=0 => x=4/3; x-3=0 => x=3; x+3=0 => x=-3.
Answer:The roots of our equation are: {-3, 4/3, 3}.