What are the solutions to the equation 10x^2=5x ?

The solutions to the equation 10x^2=5x are x=0,x= 1/2

Find the zeros of 10x^2=5x

The zeros of 10x^2=5x are x=0,x= 1/2

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10 x^{2} = 5 x

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

Decimal Notation

x = 0, x = 0.5

Solution steps

10 x^{2} = 5 x

Move

5 x

to the left side

10 x^{2} - 5 x = 0

Factor

10 x^{2} - 5 x : 5 x (2 x - 1)

5 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}

\frac{a + 4}{4 a} \times \frac{18 a ^{2}}{a + 4}

5 x + 3 = - 17

4 x - 39 > - 43 and 8 x + 31 < 23

0.2 x = 6

t^{3} - 125

What are the solutions to the equation 10x^2=5x ?
The solutions to the equation 10x^2=5x are x=0,x= 1/2
Find the zeros of 10x^2=5x
The zeros of 10x^2=5x are x=0,x= 1/2