What are the solutions to the equation 6x^3-7x^2-5x=0 ?

The solutions to the equation 6x^3-7x^2-5x=0 are x=0,x=-1/2 ,x= 5/3

Find the zeros of 6x^3-7x^2-5x=0

The zeros of 6x^3-7x^2-5x=0 are x=0,x=-1/2 ,x= 5/3

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6 x^{3} - 7 x^{2} - 5 x = 0

x = 0, x = - \frac{1}{2}, x = \frac{5}{3}

Decimal

x = 0, x = - 0.5, x = 1.66666 \dots

Solution steps

6 x^{3} - 7 x^{2} - 5 x = 0

Factor

6 x^{3} - 7 x^{2} - 5 x : x (2 x + 1) (3 x - 5)

x (2 x + 1) (3 x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x + 1 = 0 or 3 x - 5 = 0

Solve

2 x + 1 = 0 : x = - \frac{1}{2}

Solve

3 x - 5 = 0 : x = \frac{5}{3}

The solutions are

x = 0, x = - \frac{1}{2}, x = \frac{5}{3}

729 = s^{3}

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

16 x^{3} = (8 x)

x - 14 - 12 = x^{6}

x^{4} - 27 x = 0

What are the solutions to the equation 6x^3-7x^2-5x=0 ?
The solutions to the equation 6x^3-7x^2-5x=0 are x=0,x=-1/2 ,x= 5/3
Find the zeros of 6x^3-7x^2-5x=0
The zeros of 6x^3-7x^2-5x=0 are x=0,x=-1/2 ,x= 5/3