What are the solutions to the equation 4x^2=2x ?

The solutions to the equation 4x^2=2x are x=0,x= 1/2

Find the zeros of 4x^2=2x

The zeros of 4x^2=2x are x=0,x= 1/2

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4 x^{2} = 2 x

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

Solution steps

4 x^{2} = 2 x

Move

2 x

to the left side

4 x^{2} - 2 x = 0

Factor

4 x^{2} - 2 x : 2 x (2 x - 1)

2 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}

x^{12} + y^{12}

x^{2} - 19 x + 84

6 4^{\frac{2}{3}}

17 x^{2} y^{2} + 51 x^{3} y

7 n - 8 n - 3 < 23

What are the solutions to the equation 4x^2=2x ?
The solutions to the equation 4x^2=2x are x=0,x= 1/2
Find the zeros of 4x^2=2x
The zeros of 4x^2=2x are x=0,x= 1/2