-3b^2+7b-2=0

Solution for -3b^2+7b-2=0 equation:

Simplifying
-3b2 + 7b + -2 = 0

Reorder the terms:
-2 + 7b + -3b2 = 0

Solving
-2 + 7b + -3b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-2 + b)(1 + -3b) = 0

Subproblem 1
Set the factor '(-2 + b)' equal to zero and attempt to solve:

Simplifying
-2 + b = 0

Solving
-2 + b = 0

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

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

Combine like terms: -2 + 2 = 0
0 + b = 0 + 2
b = 0 + 2

Combine like terms: 0 + 2 = 2
b = 2

Simplifying
b = 2
Subproblem 2
Set the factor '(1 + -3b)' equal to zero and attempt to solve:

Simplifying
1 + -3b = 0

Solving
1 + -3b = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3b = 0 + -1
-3b = 0 + -1

Combine like terms: 0 + -1 = -1
-3b = -1

Divide each side by '-3'.
b = 0.3333333333

Simplifying
b = 0.3333333333
Solution
b = {2, 0.3333333333}