Answer:
x=-1/2,-1/3
Step-by-step explanation:
6x²-x = 1 <- Rewrite
-1 -1 <- Subtract 1 from both sides
6x²-x-1 = 0
x²-x-6 = 0 <- Slide the x²'s coefficient over to the variable with no coefficient through multiplication
(x-3)(x+2)=0 <- Factor
(x-3/6)(x+2/6)=0 <- Divide the 6 back out and simplify
(x-1/2)(x+1/3)=0 <- Simplify
(2x-1)(3x+1)=0 <Bring the denominator in front of the x
2x+1 = 0 and 3x+1 = 0 <- Seperate the two and solve
-1 -1 -1 -1
2x = -1 and 3x = -1
x = -1/2 and x = -1/3
so
x=-1/2,-1/3
