What are the solutions to the equation 2x^3-3x^2=0 ?

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

Find the zeros of 2x^3-3x^2=0

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

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

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

Decimal Notation

x = 0, x = 1.5

Solution steps

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

Factor

2 x^{3} - 3 x^{2} : x^{2} (2 x - 3)

x^{2} (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}

y^{4} + 12 y^{2} - 64 = 0

15 + x^{3} = 4 x^{2} + 15

x^{4} = (x - 2) 6

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

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

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