Solve 3x3 + 6x2 - 9x = 0 by factoring

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25-09-2015
Math

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Solve 3x3 + 6x2 - 9x = 0 by factoring

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Анонимidn Анонимidn · Answer 1 · 2015-09-25T22:56:22+08:00

1) Factor out 3x (GCF of each term) by dividing each term by 3x:
3x (x² + 2x -3) = 0

2) Factor (x² + 2x-3):
(x + 3) (x-1)

3) Solve for the roots of the equation:
3x (x + 3) (x - 1) = 0

3x = 0 x + 3 = 0 x - 1 = 0
x = 0 x = -3 x = 1

The roots are: 0, -3, and 1.

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