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 + -1b) = 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 + -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 = {-4.333333333, 1}