What are the solutions to the equation 24x^3+46x^2+9x-9=0 ?

The solutions to the equation 24x^3+46x^2+9x-9=0 are x=-3/2 ,x= 1/3 ,x=-3/4

Find the zeros of 24x^3+46x^2+9x-9=0

The zeros of 24x^3+46x^2+9x-9=0 are x=-3/2 ,x= 1/3 ,x=-3/4

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24 x^{3} + 46 x^{2} + 9 x - 9 = 0

x = - \frac{3}{2}, x = \frac{1}{3}, x = - \frac{3}{4}

Decimal

x = - 1.5, x = 0.33333 \dots, x = - 0.75

Solution steps

24 x^{3} + 46 x^{2} + 9 x - 9 = 0

Factor

24 x^{3} + 46 x^{2} + 9 x - 9 : (2 x + 3) (3 x - 1) (4 x + 3)

(2 x + 3) (3 x - 1) (4 x + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2 x + 3 = 0 or 3 x - 1 = 0 or 4 x + 3 = 0

Solve

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

Solve

3 x - 1 = 0 : x = \frac{1}{3}

Solve

4 x + 3 = 0 : x = - \frac{3}{4}

The solutions are

x = - \frac{3}{2}, x = \frac{1}{3}, x = - \frac{3}{4}

r^{4} + 6 r^{3} + 17 r^{2} + 22 r + 14 = 0

x^{3} - x^{2} - 37 x - 35

x^{3} + 5 = 6 x^{2} + 3 x

n^{3} + n^{2} - 6 n = 0

2 x^{3} - 11 x^{2} + 3 x + 36 = 0

What are the solutions to the equation 24x^3+46x^2+9x-9=0 ?
The solutions to the equation 24x^3+46x^2+9x-9=0 are x=-3/2 ,x= 1/3 ,x=-3/4
Find the zeros of 24x^3+46x^2+9x-9=0
The zeros of 24x^3+46x^2+9x-9=0 are x=-3/2 ,x= 1/3 ,x=-3/4