Problem: How do i solve this? x^2 +5x +6 = 2
The first number is x squared to the second power.
The first number is x squared, also called x to the second power.
It is NOT x squared to the second power. That would be x^4.
x^2 + 5x + 6 = 2
x^2 + 5x + 6 - 2 = 2 - 2
x^2 + 5x + 4 = 0
(x + 4)(x + 1) = 0
One or both must be zero.
x + 4 = 0
x = -4
x + 1 = 0
x = -1
Check.
x^2 + 5x + 6 = 2
(-4)^2 + 5(-4) + 6 = 2
16 - 20 + 6 = 2
2 = 2
x^2 + 5x + 6 = 2
(-1)^2 + 5(-1) + 6 = 2
1 - 5 + 6 = 2
2 = 2
Answer: x = -4 and x = - 1