What are the solutions to the equation 3x=6x^2 ?

The solutions to the equation 3x=6x^2 are x=0,x= 1/2

Find the zeros of 3x=6x^2

The zeros of 3x=6x^2 are x=0,x= 1/2

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3 x = 6 x^{2}

x = 0, x = \frac{1}{2}

Decimal Notation

x = 0, x = 0.5

Solution steps

3 x = 6 x^{2}

Move

6 x^{2}

to the left side

3 x - 6 x^{2} = 0

Factor

3 x - 6 x^{2} : - 3 x (2 x - 1)

- 3 x (2 x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x - 1 = 0

Solve

2 x - 1 = 0 : x = \frac{1}{2}

The solutions to the quadratic equation are:

x = 0, x = \frac{1}{2}

3 (x - 2)^{2} - 12 = 0

(85 x - 0.5 x^{2}) - (45 x + 300) = 300

x^{2} + 16 = 4

x^{2} + 7 x - 5 = 0

(x - 1) (x - 3) = 5

What are the solutions to the equation 3x=6x^2 ?
The solutions to the equation 3x=6x^2 are x=0,x= 1/2
Find the zeros of 3x=6x^2
The zeros of 3x=6x^2 are x=0,x= 1/2