3b^2+13b-62=-6

Solution for 3b^2+13b-62=-6 equation:

Simplifying
3b2 + 13b + -62 = -6

Reorder the terms:
-62 + 13b + 3b2 = -6

Solving
-62 + 13b + 3b2 = -6

Solving for variable 'b'.

Reorder the terms:
-62 + 6 + 13b + 3b2 = -6 + 6

Combine like terms: -62 + 6 = -56
-56 + 13b + 3b2 = -6 + 6

Combine like terms: -6 + 6 = 0
-56 + 13b + 3b2 = 0

Factor a trinomial.
(-7 + -1b)(8 + -3b) = 0

Subproblem 1
Set the factor '(-7 + -1b)' equal to zero and attempt to solve:

Simplifying
-7 + -1b = 0

Solving
-7 + -1b = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1b = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1b = 0 + 7
-1b = 0 + 7

Combine like terms: 0 + 7 = 7
-1b = 7

Divide each side by '-1'.
b = -7

Simplifying
b = -7
Subproblem 2
Set the factor '(8 + -3b)' equal to zero and attempt to solve:

Simplifying
8 + -3b = 0

Solving
8 + -3b = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3b = 0 + -8
-3b = 0 + -8

Combine like terms: 0 + -8 = -8
-3b = -8

Divide each side by '-3'.
b = 2.666666667

Simplifying
b = 2.666666667
Solution
b = {-7, 2.666666667}