Answer:
x = 1 and x = 3
Step-by-step explanation:
Let's start by rearranging and combining like terms.
4x-2-1x^2=1
-x^2 +4x -2 = 1 [put x^2 first. Makes it easier to understand]
-x^2 +4x -3 = 0 [Combine like terms]
x^2 -4x + 3 = 0 [Multiply both sides by -1.]
(x - 1)*(x - 3) = 0 [Factor. Note that the - 1 and - 3 will = +3 when multiplies, and - 4 when summed]
Set each factor = 0
(x-1) = 0
(x-3) = 0
Solve to find the two possible answers.
x = 1 and x = 3
