What are the solutions to the equation 6x^4-9x^3=0 ?

The solutions to the equation 6x^4-9x^3=0 are x=0,x= 3/2

Find the zeros of 6x^4-9x^3=0

The zeros of 6x^4-9x^3=0 are x=0,x= 3/2

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6 x^{4} - 9 x^{3} = 0

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

Decimal Notation

x = 0, x = 1.5

Solution steps

6 x^{4} - 9 x^{3} = 0

Factor

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

3 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

Solve

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

The solutions are

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

12 x^{3} - 12 x^{2} - 12 = 0

6 x^{4} - 5 x^{2} - 1 = 0

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

2 x (x^{2} - 100) (9 x^{2} - 25) = 0

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

What are the solutions to the equation 6x^4-9x^3=0 ?
The solutions to the equation 6x^4-9x^3=0 are x=0,x= 3/2
Find the zeros of 6x^4-9x^3=0
The zeros of 6x^4-9x^3=0 are x=0,x= 3/2