What are the solutions to the equation 5x^3+15x^2-20x=0 ?

The solutions to the equation 5x^3+15x^2-20x=0 are x=0,x=1,x=-4

Find the zeros of 5x^3+15x^2-20x=0

The zeros of 5x^3+15x^2-20x=0 are x=0,x=1,x=-4

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5 x^{3} + 15 x^{2} - 20 x = 0

x = 0, x = 1, x = - 4

Solution steps

5 x^{3} + 15 x^{2} - 20 x = 0

Factor

5 x^{3} + 15 x^{2} - 20 x : 5 x (x - 1) (x + 4)

5 x (x - 1) (x + 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0 or x + 4 = 0

Solve

x - 1 = 0 : x = 1

Solve

x + 4 = 0 : x = - 4

The solutions are

x = 0, x = 1, x = - 4

x, x^{4} - 9 x^{2} - y = 0

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

12 (x^{3} - 4 x^{2} + x + 6) = 0

3 x^{3} - 8 x^{2} + x + 2 = 0

2 x^{3} - 11 x = - 9

What are the solutions to the equation 5x^3+15x^2-20x=0 ?
The solutions to the equation 5x^3+15x^2-20x=0 are x=0,x=1,x=-4
Find the zeros of 5x^3+15x^2-20x=0
The zeros of 5x^3+15x^2-20x=0 are x=0,x=1,x=-4