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

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

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

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

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

x = \frac{9}{4}, x = 0

Decimal Notation

x = 2.25, x = 0

Solution steps

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

Find Least Common Multiplier of

3, 2 : 6

Multiply by LCM=

6

\frac{2}{3} x^{2} \cdot 6 - \frac{3}{2} x \cdot 6 = 0 \cdot 6

Simplify

4 x^{2} - 9 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 4 \cdot 0}{2 \cdot 4}

(- 9)^{2} - 4 \cdot 4 \cdot 0 = 9

x_{1, 2} = \frac{- ( - 9 ) \pm 9}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 9}{2 \cdot 4}, x_{2} = \frac{- ( - 9 ) - 9}{2 \cdot 4}

x = \frac{- ( - 9 ) + 9}{2 \cdot 4} : \frac{9}{4}

x = \frac{- ( - 9 ) - 9}{2 \cdot 4} : 0

The solutions to the quadratic equation are:

x = \frac{9}{4}, x = 0

2 x^{2} + 16.38 x + 33.01 x = 0

x^{2} = 6 x + 5

x, y^{9} x^{2} - 4 y^{2} = 36

x (x - 2) = 24

s^{2} + \frac{c}{m} s + \frac{b}{m} s + \frac{k}{m} = 0

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