Answer: To solve the equation 4x^2 + 5 = 6 by factoring, we need to start by isolating x^2 on one side of the equation.
We have:
4x^2 + 5 = 6
subtracting 5 from both sides:
4x^2 = 1
Dividing both sides by 4:
x^2 = 1/4
Taking the square root of both sides:
x = ± √(1/4)
x = ± 1/2
So the solutions are x = 1/2 or x = -1/2.
It's important to note that we can't factor any x^2 term as it's a squared term and it's not possible to factor it out with any integer or variable.