How is 6 a solution for 2x^2+4x=3+3x^2

2x^2+4x-3-3X^2=0

simplify 2x^2+4x-3-3x^2 to - x^2+4x-3

-x^2+4x-3=0

Multiply both sides by - 1

x^2-4x+3=0

Factor x^2-4x+3

1. Ask: Which two number add up to - 4 and multiply to 3.

2. Answer:3 and - 1.

3. Rewrite the expression as (x-3) (x-1):

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

5Solve for x

1. Ask: when will (x-3) (x-1) equal zero.

2. Answer: when x-3=0 or x-1=0.

x=3,1