What are the solutions to the equation 6x^4+29x^3+23x^2-30x=0 ?

The solutions to the equation 6x^4+29x^3+23x^2-30x=0 are x=0,x=-3,x= 2/3 ,x=-5/2

Find the zeros of 6x^4+29x^3+23x^2-30x=0

The zeros of 6x^4+29x^3+23x^2-30x=0 are x=0,x=-3,x= 2/3 ,x=-5/2

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6 x^{4} + 29 x^{3} + 23 x^{2} - 30 x = 0

x = 0, x = - 3, x = \frac{2}{3}, x = - \frac{5}{2}

Decimal Notation

x = 0, x = - 3, x = 0.66666 \dots, x = - 2.5

Solution steps

6 x^{4} + 29 x^{3} + 23 x^{2} - 30 x = 0

Factor

6 x^{4} + 29 x^{3} + 23 x^{2} - 30 x : x (x + 3) (3 x - 2) (2 x + 5)

x (x + 3) (3 x - 2) (2 x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 3 = 0 or 3 x - 2 = 0 or 2 x + 5 = 0

Solve

x + 3 = 0 : x = - 3

Solve

3 x - 2 = 0 : x = \frac{2}{3}

Solve

2 x + 5 = 0 : x = - \frac{5}{2}

The solutions are

x = 0, x = - 3, x = \frac{2}{3}, x = - \frac{5}{2}

x^{3} + 7 x^{2} - 49 x - 343 = 0

2 x^{4} - 15 x^{2} - 27 = 0

x^{3} = 16 x

x^{3} - 2 x^{2} - 11 x + 12 = 0

x^{3} - 5 x^{2} - 24 x = 0

What are the solutions to the equation 6x^4+29x^3+23x^2-30x=0 ?
The solutions to the equation 6x^4+29x^3+23x^2-30x=0 are x=0,x=-3,x= 2/3 ,x=-5/2
Find the zeros of 6x^4+29x^3+23x^2-30x=0
The zeros of 6x^4+29x^3+23x^2-30x=0 are x=0,x=-3,x= 2/3 ,x=-5/2