What are the solutions to the equation a^3+3a^2+2a=0 ?

The solutions to the equation a^3+3a^2+2a=0 are a=0,a=-1,a=-2

Find the zeros of a^3+3a^2+2a=0

The zeros of a^3+3a^2+2a=0 are a=0,a=-1,a=-2

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a^{3} + 3 a^{2} + 2 a = 0

a = 0, a = - 1, a = - 2

Solution steps

a^{3} + 3 a^{2} + 2 a = 0

Factor

a^{3} + 3 a^{2} + 2 a : a (a + 1) (a + 2)

a (a + 1) (a + 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

a = 0 or a + 1 = 0 or a + 2 = 0

Solve

a + 1 = 0 : a = - 1

Solve

a + 2 = 0 : a = - 2

The solutions are

a = 0, a = - 1, a = - 2

y^{4} - 3 y^{2} - 4 = 0

x^{4} - 6 x^{3} + 7 x^{2} + 6 x - 3 = 0

2 y^{2} - 2 y = 12 y^{2} - 12 y^{3}

2 x^{4} + 12 x^{2} + 16 = 0

4 x^{3} - 28 x - 24 = 0

What are the solutions to the equation a^3+3a^2+2a=0 ?
The solutions to the equation a^3+3a^2+2a=0 are a=0,a=-1,a=-2
Find the zeros of a^3+3a^2+2a=0
The zeros of a^3+3a^2+2a=0 are a=0,a=-1,a=-2