Solve for x:
2 x^2 - 7 x + 5 = 0
The left hand side factors into a product with two terms:
(x - 1) (2 x - 5) = 0
Split into two equations:
x - 1 = 0 or 2 x - 5 = 0
Add 1 to both sides:
x = 1 or 2 x - 5 = 0
Add 5 to both sides:
x = 1 or 2 x = 5
Divide both sides by 2:
x = 1 or x = 5/2
+129852 2x^2 -7x + 5 = 0
We can rewrite this as
2x^2 - 2x - 5x + 5 = 0 factor as
2x ( x - 1) - 5 ( x - 1) = 0 the common factor is ( x - 1)...so.....
(x - 1) ( 2x - 5) = 0
Set each factor to 0 and solve for x and we have that
x - 1 = 0 2x - 5 = 0
add 1 to both sides add 5 to both sides
x = 1 2x = 5
divide both sides by 2
x = 5/2
