What are the solutions to the equation -a^3+4a^2-3a=0 ?

The solutions to the equation -a^3+4a^2-3a=0 are a=0,a=1,a=3

Find the zeros of -a^3+4a^2-3a=0

The zeros of -a^3+4a^2-3a=0 are a=0,a=1,a=3

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- a^{3} + 4 a^{2} - 3 a = 0

a = 0, a = 1, a = 3

Solution steps

- a^{3} + 4 a^{2} - 3 a = 0

Factor

- a^{3} + 4 a^{2} - 3 a : - a (a - 1) (a - 3)

- a (a - 1) (a - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

a = 0 or a - 1 = 0 or a - 3 = 0

Solve

a - 1 = 0 : a = 1

Solve

a - 3 = 0 : a = 3

The solutions are

a = 0, a = 1, a = 3

12 x^{5} - 8 x^{4} - 12 x + 8 = 0

2 x^{3} + x = 4

- x^{3} + 2 x + 1 = 0

x^{3} + 6 x^{2} - 13 x - 78 = 0

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

What are the solutions to the equation -a^3+4a^2-3a=0 ?
The solutions to the equation -a^3+4a^2-3a=0 are a=0,a=1,a=3
Find the zeros of -a^3+4a^2-3a=0
The zeros of -a^3+4a^2-3a=0 are a=0,a=1,a=3