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

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

Find the zeros of 3x^2=2x

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

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3 x^{2} = 2 x

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

Decimal Notation

x = 0, x = 0.66666 \dots

Solution steps

3 x^{2} = 2 x

Move

2 x

to the left side

3 x^{2} - 2 x = 0

Factor

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

x (3 x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 3 x - 2 = 0

Solve

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

The solutions to the quadratic equation are:

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

1 + 1

∣ x ∣ \geq ∣ 2 x - 1 ∣

s^{2} - 3 s + 2 = 0

(\frac{x ^{7} y ^{3}}{x})^{\frac{1}{3}}

3^{16}

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