3r*2-4r+1=0

Solution for 3r*2-4r+1=0 equation:

Simplifying
3r * 2 + -4r + 1 = 0

Reorder the terms for easier multiplication:
3 * 2r + -4r + 1 = 0

Multiply 3 * 2
6r + -4r + 1 = 0

Reorder the terms:
1 + 6r + -4r = 0

Combine like terms: 6r + -4r = 2r
1 + 2r = 0

Solving
1 + 2r = 0

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 2r = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2r = 0 + -1
2r = 0 + -1

Combine like terms: 0 + -1 = -1
2r = -1

Divide each side by '2'.
r = -0.5

Simplifying
r = -0.5