What are the solutions to the equation x(x-7)=2x ?

The solutions to the equation x(x-7)=2x are x=0,x=9

Find the zeros of x(x-7)=2x

The zeros of x(x-7)=2x are x=0,x=9

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x (x - 7) = 2 x

x = 0, x = 9

Solution steps

x (x - 7) = 2 x

Move

2 x

to the left side

x (x - 7) - 2 x = 0

Factor

x (x - 7) - 2 x : x (x - 9)

x (x - 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 9 = 0

Solve

x - 9 = 0 : x = 9

The solutions to the quadratic equation are:

x = 0, x = 9

x (x - c) = a

9.81 t^{2} - 24 t - 140 = 0

g^{2} + 34 = - 135

12 x^{2} - x - 2 = 0

6 x^{2} - 42 x + 12 = 0

What are the solutions to the equation x(x-7)=2x ?
The solutions to the equation x(x-7)=2x are x=0,x=9
Find the zeros of x(x-7)=2x
The zeros of x(x-7)=2x are x=0,x=9