What are the solutions to the equation -12x^4-27x^3=0 ?

The solutions to the equation -12x^4-27x^3=0 are x=0,x=-9/4

Find the zeros of -12x^4-27x^3=0

The zeros of -12x^4-27x^3=0 are x=0,x=-9/4

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- 12 x^{4} - 27 x^{3} = 0

x = 0, x = - \frac{9}{4}

Solution steps

- 12 x^{4} - 27 x^{3} = 0

Factor

- 12 x^{4} - 27 x^{3} : - 3 x^{3} (4 x + 9)

- 3 x^{3} (4 x + 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 4 x + 9 = 0

Solve

4 x + 9 = 0 : x = - \frac{9}{4}

The solutions are

x = 0, x = - \frac{9}{4}

14 n^{3} - 2 n^{2} = 0

2 x^{5} - 3 x^{4} - 7 x^{2} + 5 = 0

2 x^{4} + x^{3} - 29 x^{2} - 34 x = 24

400 = t^{3} + 2 t

(x^{2} - 3)^{2} = 36

What are the solutions to the equation -12x^4-27x^3=0 ?
The solutions to the equation -12x^4-27x^3=0 are x=0,x=-9/4
Find the zeros of -12x^4-27x^3=0
The zeros of -12x^4-27x^3=0 are x=0,x=-9/4