What are the solutions to the equation 3x^3+18x^2+10x=-5x ?

The solutions to the equation 3x^3+18x^2+10x=-5x are x=0,x=-1,x=-5

Find the zeros of 3x^3+18x^2+10x=-5x

The zeros of 3x^3+18x^2+10x=-5x are x=0,x=-1,x=-5

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3 x^{3} + 18 x^{2} + 10 x = - 5 x

x = 0, x = - 1, x = - 5

Solution steps

3 x^{3} + 18 x^{2} + 10 x = - 5 x

Move

5 x

to the left side

3 x^{3} + 18 x^{2} + 15 x = 0

Factor

3 x^{3} + 18 x^{2} + 15 x : 3 x (x + 1) (x + 5)

3 x (x + 1) (x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 1 = 0 or x + 5 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x + 5 = 0 : x = - 5

The solutions are

x = 0, x = - 1, x = - 5

x^{3} - 6 x^{2} - 36 x + 216 = 0

n^{3} - n = 8 n^{2} - 8

x^{3} - 5 x^{2} + x + 15 = 0

4 x^{3} + 3 x^{2} - 40 x + 1 = 0

2 x^{4} + x^{3} - 24 x^{2} + 20 x + 16 = 0

What are the solutions to the equation 3x^3+18x^2+10x=-5x ?
The solutions to the equation 3x^3+18x^2+10x=-5x are x=0,x=-1,x=-5
Find the zeros of 3x^3+18x^2+10x=-5x
The zeros of 3x^3+18x^2+10x=-5x are x=0,x=-1,x=-5