What are the solutions to the equation 5g^2+g^3=-4g ?

The solutions to the equation 5g^2+g^3=-4g are g=0,g=-1,g=-4

Find the zeros of 5g^2+g^3=-4g

The zeros of 5g^2+g^3=-4g are g=0,g=-1,g=-4

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5 g^{2} + g^{3} = - 4 g

g = 0, g = - 1, g = - 4

Solution steps

5 g^{2} + g^{3} = - 4 g

Move

4 g

to the left side

5 g^{2} + g^{3} + 4 g = 0

Factor

5 g^{2} + g^{3} + 4 g : g (g + 1) (g + 4)

g (g + 1) (g + 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

g = 0 or g + 1 = 0 or g + 4 = 0

Solve

g + 1 = 0 : g = - 1

Solve

g + 4 = 0 : g = - 4

The solutions are

g = 0, g = - 1, g = - 4

x^{4} + 35 x^{2} - 36 = 0

4 x^{3} = 256 x

2 x^{4} + 8 x^{2} + 5 = 0

x, x^{3} = 27

a, a^{3} + b^{3} = 8

What are the solutions to the equation 5g^2+g^3=-4g ?
The solutions to the equation 5g^2+g^3=-4g are g=0,g=-1,g=-4
Find the zeros of 5g^2+g^3=-4g
The zeros of 5g^2+g^3=-4g are g=0,g=-1,g=-4