Question

Solve the equation by factoring. 2x^2=8x

Answer 1

(0,4)

Explanation:

Divide both sides of the equation by 2

x^2=4x

Move the variable to the left-hand side and change it's sign

x^2-4x=0

Factor out x from the expression

xx(x-4)=0

Separate into possible cases. )When the product of factors equals 0, at least one factor is 0)

x=0

x-4=0

solve the equation for x

x=0

x=4

The equation has 2 solutions

Answer 2

x= 0 x=4

Explanation:

2x^2=8x

Subtract 8x from each side

2x^2 -8x=8x-8x

2x^2 - 8x =0

Factor 2x

2x( x-4) =0

Using the zero product property

2x =0 x-4 =0

x= 0 x=4