-6+b+5b^2=0

Solution for -6+b+5b^2=0 equation:

Simplifying
-6 + b + 5b2 = 0

Solving
-6 + b + 5b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-6 + -5b)(1 + -1b) = 0

Subproblem 1
Set the factor '(-6 + -5b)' equal to zero and attempt to solve:

Simplifying
-6 + -5b = 0

Solving
-6 + -5b = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5b = 0 + 6
-5b = 0 + 6

Combine like terms: 0 + 6 = 6
-5b = 6

Divide each side by '-5'.
b = -1.2

Simplifying
b = -1.2
Subproblem 2
Set the factor '(1 + -1b)' equal to zero and attempt to solve:

Simplifying
1 + -1b = 0

Solving
1 + -1b = 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 + -1b = 0 + -1

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

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

Divide each side by '-1'.
b = 1

Simplifying
b = 1
Solution
b = {-1.2, 1}