Which of the following is the correct factored form of the given equation?

x 2 + 3x - 4 = 0

a. (x - 1)(x + 4) = 0
b. (x - 1)(x - 4) = 0
c. (x + 1)(x - 4) = 0

A.

Step-by-step explanation:

Given equation :

We can rewrite the above equation as :

Which can be rewritten as :

i.e.

Take x common from first two terms and 4 from last two terms , we get

Take (x-1) common from both terms , we get

Thus, the correct factored form of the given equation :

A.

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions