What are the solutions to the equation 4x^3+12x^2+9x=0 ?

The solutions to the equation 4x^3+12x^2+9x=0 are x=0,x=-3/2

Find the zeros of 4x^3+12x^2+9x=0

The zeros of 4x^3+12x^2+9x=0 are x=0,x=-3/2

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4 x^{3} + 12 x^{2} + 9 x = 0

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

Decimal Notation

x = 0, x = - 1.5

Solution steps

4 x^{3} + 12 x^{2} + 9 x = 0

Factor

4 x^{3} + 12 x^{2} + 9 x : x (2 x + 3)^{2}

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x + 3 = 0

Solve

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

The solutions are

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

y, 9 x^{5} + 6 y^{3} = 5 x + 10 x^{6}

x^{4} + 6 x^{3} - 5 x^{2} - 24 x + 4 = 0

x^{4} + 6 x^{3} + 8 x^{2} - 6 x - 9 = 0

x^{4} - 9 x^{3} + 27 x^{2} - 27 x = 0

x^{5} - 3 \cdot x^{2} + x + 1 = 0

What are the solutions to the equation 4x^3+12x^2+9x=0 ?
The solutions to the equation 4x^3+12x^2+9x=0 are x=0,x=-3/2
Find the zeros of 4x^3+12x^2+9x=0
The zeros of 4x^3+12x^2+9x=0 are x=0,x=-3/2