Step-by-step explanation:
to solve this problem, multiply the a and the c. In this problem, a is 4 and c is 9
4(9) =36
what two numbers multiply to get 36 and then add up to get b which is 12.
6 (6)
write the new value in the equation as b
4x^2 + 6x + 6x + 9
Now that you have four numbers, split the equations
(4x^2 + 6x) + (6x + 9)
take out the common factors
2x( 2x +3) + 3 (2x +3)
(2x + 3) ( 2x + 3 )
Since the solutions are the same
we write it as
( 2x +3) ^2