What are the solutions to the equation 8x^2=24x ?

The solutions to the equation 8x^2=24x are x=0,x=3

Find the zeros of 8x^2=24x

The zeros of 8x^2=24x are x=0,x=3

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8 x^{2} = 24 x

x = 0, x = 3

Solution steps

8 x^{2} = 24 x

Move

24 x

to the left side

8 x^{2} - 24 x = 0

Factor

8 x^{2} - 24 x : 8 x (x - 3)

8 x (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 3 = 0

Solve

x - 3 = 0 : x = 3

The solutions to the quadratic equation are:

x = 0, x = 3

0 = 3 x^{2} + 12 x - 15

(2 x + 1) (x - 3) = - 4 x

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

x^{2} + 6 - 8 = 0

3 3^{2} + 5 6^{2} = x^{2}

What are the solutions to the equation 8x^2=24x ?
The solutions to the equation 8x^2=24x are x=0,x=3
Find the zeros of 8x^2=24x
The zeros of 8x^2=24x are x=0,x=3