What is 3x^3+21x^2+30x=0?

Question

Mathematics

Amya Donovan

11 February, 05:57

What is 3x^3+21x^2+30x=0?

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Answers (1)

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Neil Petty · Answer 1

3x³ + 21x² + 30x = 0

3x (x²) + 3x (7x) + 3x (10) = 0

3x (x² + 7x + 10) = 0

3x (x² + 5x + 2x + 10) = 0

3x (x (x) + x (5) + 2 (x) + 2 (5)) = 0

3x (x (x + 5) + 2 (x + 5)) = 0

3x (x + 2) (x + 5) = 0

3x = 0 or x + 2 = 0 or x + 5 = 0

3 3 - 2 - 2 - 5 - 5

x = 0 or x = - 2 or x = - 5

Solution Set: {0, - 2, - 5}