What are the solutions to the equation x(x-1)=4x ?

The solutions to the equation x(x-1)=4x are x=0,x=5

Find the zeros of x(x-1)=4x

The zeros of x(x-1)=4x are x=0,x=5

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x (x - 1) = 4 x

x = 0, x = 5

Solution steps

x (x - 1) = 4 x

Move

4 x

to the left side

x (x - 1) - 4 x = 0

Factor

x (x - 1) - 4 x : x (x - 5)

x (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 5 = 0

Solve

x - 5 = 0 : x = 5

The solutions to the quadratic equation are:

x = 0, x = 5

w^{2} - 5 w = 0

x^{2} - 9 = 0

0 = - \frac{1}{4} x^{2} - \frac{4}{3} x + 7

x^{2} - 4 = 0

120 - 92 x + 12 x^{2} = 0

What are the solutions to the equation x(x-1)=4x ?
The solutions to the equation x(x-1)=4x are x=0,x=5
Find the zeros of x(x-1)=4x
The zeros of x(x-1)=4x are x=0,x=5