What are the solutions to the equation 10x^2=3x ?

The solutions to the equation 10x^2=3x are x=0,x= 3/10

Find the zeros of 10x^2=3x

The zeros of 10x^2=3x are x=0,x= 3/10

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10 x^{2} = 3 x

x = 0, x = \frac{3}{10}

Decimal Notation

x = 0, x = 0.3

Solution steps

10 x^{2} = 3 x

Move

3 x

to the left side

10 x^{2} - 3 x = 0

Factor

10 x^{2} - 3 x : x (10 x - 3)

x (10 x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 10 x - 3 = 0

Solve

10 x - 3 = 0 : x = \frac{3}{10}

The solutions to the quadratic equation are:

x = 0, x = \frac{3}{10}

x^{2} - x + 5 = 5

y, x^{2} + y^{2} = - 1

x, x^{2} + y^{2} + z^{2} = 4

x^{2} - 40 x - 10 = 0

\frac{x ^{2} + 1}{5} - \frac{x + 1}{4} = 1

What are the solutions to the equation 10x^2=3x ?
The solutions to the equation 10x^2=3x are x=0,x= 3/10
Find the zeros of 10x^2=3x
The zeros of 10x^2=3x are x=0,x= 3/10