What are the solutions to the equation x(x-3)=3x ?

The solutions to the equation x(x-3)=3x are x=0,x=6

Find the zeros of x(x-3)=3x

The zeros of x(x-3)=3x are x=0,x=6

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x (x - 3) = 3 x

x = 0, x = 6

Solution steps

x (x - 3) = 3 x

Move

3 x

to the left side

x (x - 3) - 3 x = 0

Factor

x (x - 3) - 3 x : x (x - 6)

x (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 6 = 0

Solve

x - 6 = 0 : x = 6

The solutions to the quadratic equation are:

x = 0, x = 6

3 x^{2} + 18 x + 7 = 0

- y^{2} - 2 y + 3 = 0

a x^{2} - 5 x^{2} + 2 x = a + 7

x, x^{2} + y^{2} + 3 x + 2 y + 5 = 0

Z^{2} - 5 = - 4

What are the solutions to the equation x(x-3)=3x ?
The solutions to the equation x(x-3)=3x are x=0,x=6
Find the zeros of x(x-3)=3x
The zeros of x(x-3)=3x are x=0,x=6