What are the solutions to the equation 45x^4+30x^3+5x^2=0 ?

The solutions to the equation 45x^4+30x^3+5x^2=0 are x=0,x=-1/3

Find the zeros of 45x^4+30x^3+5x^2=0

The zeros of 45x^4+30x^3+5x^2=0 are x=0,x=-1/3

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45 x^{4} + 30 x^{3} + 5 x^{2} = 0

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

Solution steps

45 x^{4} + 30 x^{3} + 5 x^{2} = 0

Factor

45 x^{4} + 30 x^{3} + 5 x^{2} : 5 x^{2} (3 x + 1)^{2}

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 3 x + 1 = 0

Solve

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

The solutions are

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

10 a^{3} = 640

4 t^{3} - 30 t^{2} + 58 t - 36 = 0

z^{4} - 2 z^{3} + 6 z^{2} - 8 z + 8 = 0

x^{4} - 6 x^{3} + 22 x^{2} - 30 x + 13 = 0

7 m^{3} - 14 m^{2} - 168 m = 0

What are the solutions to the equation 45x^4+30x^3+5x^2=0 ?
The solutions to the equation 45x^4+30x^3+5x^2=0 are x=0,x=-1/3
Find the zeros of 45x^4+30x^3+5x^2=0
The zeros of 45x^4+30x^3+5x^2=0 are x=0,x=-1/3