What are the solutions to the equation 18x^3-6x^2-16x+8=0 ?

The solutions to the equation 18x^3-6x^2-16x+8=0 are x=-1,x= 2/3

Find the zeros of 18x^3-6x^2-16x+8=0

The zeros of 18x^3-6x^2-16x+8=0 are x=-1,x= 2/3

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18 x^{3} - 6 x^{2} - 16 x + 8 = 0

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

Decimal Notation

x = - 1, x = 0.66666 \dots

Solution steps

18 x^{3} - 6 x^{2} - 16 x + 8 = 0

Factor

18 x^{3} - 6 x^{2} - 16 x + 8 : 2 (x + 1) (3 x - 2)^{2}

2 (x + 1) (3 x - 2)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 1 = 0 : x = - 1

Solve

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

The solutions are

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

x^{4} + 2 x^{3} - 8 x^{2} - 18 x - 9 = 0

x^{3} + 91 x + 90 = 0

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

x^{3} - 10 x^{2} + 20 x = 26

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

What are the solutions to the equation 18x^3-6x^2-16x+8=0 ?
The solutions to the equation 18x^3-6x^2-16x+8=0 are x=-1,x= 2/3
Find the zeros of 18x^3-6x^2-16x+8=0
The zeros of 18x^3-6x^2-16x+8=0 are x=-1,x= 2/3