What are the solutions to the equation 4x^3=9x ?

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

Find the zeros of 4x^3=9x

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

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4 x^{3} = 9 x

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

Decimal Notation

x = 0, x = - 1.5, x = 1.5

Solution steps

4 x^{3} = 9 x

Move

9 x

to the left side

4 x^{3} - 9 x = 0

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

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

Solve

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

The solutions are

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

8 x^{3} + 12 x^{2} + 6 x + 1 = 0

x, a = (2 x^{5} \cdot y^{3})^{3}

x^{3} - 4 x^{2} - 20 x - 35 = 0

(x - 8)^{3} = 0

x^{4} - 5 x^{3} + 8 x^{2} + 1 = 0

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