Answer:
x = 1 or x = 3/2
Step-by-step explanation:
Solve for x:
(4 x^2 - 10 x + 6)/(4 x + 2) = 0
Multiply both sides by 4 x + 2:
4 x^2 - 10 x + 6 = 0
The left hand side factors into a product with three terms:
2 (x - 1) (2 x - 3) = 0
Divide both sides by 2:
(x - 1) (2 x - 3) = 0
Split into two equations:
x - 1 = 0 or 2 x - 3 = 0
Add 1 to both sides:
x = 1 or 2 x - 3 = 0
Add 3 to both sides:
x = 1 or 2 x = 3
Divide both sides by 2:
Answer: x = 1 or x = 3/2
