What are the solutions to the equation 6x^3-x^2-35x=0 ?

The solutions to the equation 6x^3-x^2-35x=0 are x=0,x=-7/3 ,x= 5/2

Find the zeros of 6x^3-x^2-35x=0

The zeros of 6x^3-x^2-35x=0 are x=0,x=-7/3 ,x= 5/2

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6 x^{3} - x^{2} - 35 x = 0

x = 0, x = - \frac{7}{3}, x = \frac{5}{2}

Decimal Notation

x = 0, x = - 2.33333 \dots, x = 2.5

Solution steps

6 x^{3} - x^{2} - 35 x = 0

Factor

6 x^{3} - x^{2} - 35 x : x (3 x + 7) (2 x - 5)

x (3 x + 7) (2 x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 3 x + 7 = 0 or 2 x - 5 = 0

Solve

3 x + 7 = 0 : x = - \frac{7}{3}

Solve

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

The solutions are

x = 0, x = - \frac{7}{3}, x = \frac{5}{2}

x^{4} + 7 x^{3} - 2 x^{2} + 7 x + 1 = 0

x^{4} = 3 x

x^{4} = 7 x

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

x^{4} = - 3

What are the solutions to the equation 6x^3-x^2-35x=0 ?
The solutions to the equation 6x^3-x^2-35x=0 are x=0,x=-7/3 ,x= 5/2
Find the zeros of 6x^3-x^2-35x=0
The zeros of 6x^3-x^2-35x=0 are x=0,x=-7/3 ,x= 5/2