What are the solutions to the equation 4x^4+3x^3=0 ?

The solutions to the equation 4x^4+3x^3=0 are x=0,x=-3/4

Find the zeros of 4x^4+3x^3=0

The zeros of 4x^4+3x^3=0 are x=0,x=-3/4

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

x = 0, x = - \frac{3}{4}

Solution steps

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

Factor

4 x^{4} + 3 x^{3} : x^{3} (4 x + 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 4 x + 3 = 0

Solve

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

The solutions are

x = 0, x = - \frac{3}{4}

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

3 x^{3} + 5 x^{2} = 28 x

x = 5 x - x^{3}

(x + 1) 4 - (x - 1) 4 = x^{2} (8 x + 1) + 15

x^{4} - 5 x^{2} 4 = 0

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