-3b^2+10b+13=0

Solution for -3b^2+10b+13=0 equation:

Simplifying
-3b2 + 10b + 13 = 0

Reorder the terms:
13 + 10b + -3b2 = 0

Solving
13 + 10b + -3b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(13 + -3b)(1 + b) = 0

Subproblem 1
Set the factor '(13 + -3b)' equal to zero and attempt to solve:

Simplifying
13 + -3b = 0

Solving
13 + -3b = 0

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

Add '-13' to each side of the equation.
13 + -13 + -3b = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -3b = 0 + -13
-3b = 0 + -13

Combine like terms: 0 + -13 = -13
-3b = -13

Divide each side by '-3'.
b = 4.333333333

Simplifying
b = 4.333333333
Subproblem 2
Set the factor '(1 + b)' equal to zero and attempt to solve:

Simplifying
1 + b = 0

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

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

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

Simplifying
b = -1
Solution
b = {4.333333333, -1}