Question

Quadratic equations

Solve 3x^2=6x+9

I don’t understand how the answers are x=-1 or x=3
Please help

Answer 1

see below

Explanation:

3x^2=6x+9

Subtract 6x from each side

3x^2-6x=9

Subtract 9 from each side

3x^2-6x-9=0

Factor out 3

3(x^2 -2x-3) =0

Factor inside the parentheses

3 ( x-3)(x+1) =0

Using the zero product property

x-3 =0 x+1 =0

x=3 x = -1