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

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

Find the zeros of 3x=2x^2

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

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3 x = 2 x^{2}

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

Decimal Notation

x = 0, x = 1.5

Solution steps

3 x = 2 x^{2}

Move

2 x^{2}

to the left side

3 x - 2 x^{2} = 0

Factor

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

(3 x - 4)^{2} = 36

v^{2} + 11 v - 26 = 0

159

\frac{1}{2} x + 8 \leq 10

∣ 2 x + 1 ∣ + 1 \leq 6

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