What are the solutions to the equation 20x^3=45x ?

The solutions to the equation 20x^3=45x are x=0,x=-3/2 ,x= 3/2

Find the zeros of 20x^3=45x

The zeros of 20x^3=45x are x=0,x=-3/2 ,x= 3/2

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20 x^{3} = 45 x

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

Decimal Notation

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

Solution steps

20 x^{3} = 45 x

Move

45 x

to the left side

20 x^{3} - 45 x = 0

Factor

20 x^{3} - 45 x : 5 x (2 x + 3) (2 x - 3)

5 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}

x^{5} - 6 x^{3} + 5 x = 0

x, x^{3} + 2 x^{2} + 5 x = 0

5000 = 1000 (1 + x)^{12}

x^{4} + 22 x - 24 = 0

4 x^{4} - 5 x^{2} + 9 = 0

What are the solutions to the equation 20x^3=45x ?
The solutions to the equation 20x^3=45x are x=0,x=-3/2 ,x= 3/2
Find the zeros of 20x^3=45x
The zeros of 20x^3=45x are x=0,x=-3/2 ,x= 3/2