What are the solutions to the equation 3u^2=27u ?

The solutions to the equation 3u^2=27u are u=0,u=9

Find the zeros of 3u^2=27u

The zeros of 3u^2=27u are u=0,u=9

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3 u^{2} = 27 u

u = 0, u = 9

Solution steps

3 u^{2} = 27 u

Move

27 u

to the left side

3 u^{2} - 27 u = 0

Factor

3 u^{2} - 27 u : 3 u (u - 9)

3 u (u - 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

u = 0 or u - 9 = 0

Solve

u - 9 = 0 : u = 9

The solutions to the quadratic equation are:

u = 0, u = 9

5 (x - 7)^{2} + 72 = 112

x^{2} + 4 x + 20 = 0

- 20 x^{2} = 4 x

- 3 x^{2} - 7 x + 5

60 x^{2} - 180 x = 0

What are the solutions to the equation 3u^2=27u ?
The solutions to the equation 3u^2=27u are u=0,u=9
Find the zeros of 3u^2=27u
The zeros of 3u^2=27u are u=0,u=9