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

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

Find the zeros of 2x^2=3x

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

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2 x^{2} = 3 x

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

Decimal Notation

x = 0, x = 1.5

Solution steps

2 x^{2} = 3 x

Move

3 x

to the left side

2 x^{2} - 3 x = 0

Factor

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

x (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 to the quadratic equation are:

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

\frac{16}{3} + \frac{16}{15} + \frac{16}{35}

\frac{6}{\frac{3}{4}}

\frac{1}{4} \cdot 2

15 x^{2} - 7 x - 2

\frac{1}{5 + 2 i}

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