What are the solutions to the equation -6x^3+36x^2+42x=0 ?

The solutions to the equation -6x^3+36x^2+42x=0 are x=0,x=-1,x=7

Find the zeros of -6x^3+36x^2+42x=0

The zeros of -6x^3+36x^2+42x=0 are x=0,x=-1,x=7

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- 6 x^{3} + 36 x^{2} + 42 x = 0

x = 0, x = - 1, x = 7

Solution steps

- 6 x^{3} + 36 x^{2} + 42 x = 0

Factor

- 6 x^{3} + 36 x^{2} + 42 x : - 6 x (x + 1) (x - 7)

- 6 x (x + 1) (x - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 1 = 0 or x - 7 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 7 = 0 : x = 7

The solutions are

x = 0, x = - 1, x = 7

x^{3} - 4 x + 3 = 2.8

x^{3} x = 18

9 = b^{4} - (- 5)

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

x^{4} + 6 x^{3} + 11 x^{2} + 6 x - 48 = 0

What are the solutions to the equation -6x^3+36x^2+42x=0 ?
The solutions to the equation -6x^3+36x^2+42x=0 are x=0,x=-1,x=7
Find the zeros of -6x^3+36x^2+42x=0
The zeros of -6x^3+36x^2+42x=0 are x=0,x=-1,x=7