b^2+6b-35=-8

Solution for b^2+6b-35=-8 equation:

Simplifying
b2 + 6b + -35 = -8

Reorder the terms:
-35 + 6b + b2 = -8

Solving
-35 + 6b + b2 = -8

Solving for variable 'b'.

Reorder the terms:
-35 + 8 + 6b + b2 = -8 + 8

Combine like terms: -35 + 8 = -27
-27 + 6b + b2 = -8 + 8

Combine like terms: -8 + 8 = 0
-27 + 6b + b2 = 0

Factor a trinomial.
(-9 + -1b)(3 + -1b) = 0

Subproblem 1
Set the factor '(-9 + -1b)' equal to zero and attempt to solve:

Simplifying
-9 + -1b = 0

Solving
-9 + -1b = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1b = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1b = 0 + 9
-1b = 0 + 9

Combine like terms: 0 + 9 = 9
-1b = 9

Divide each side by '-1'.
b = -9

Simplifying
b = -9
Subproblem 2
Set the factor '(3 + -1b)' equal to zero and attempt to solve:

Simplifying
3 + -1b = 0

Solving
3 + -1b = 0

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

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

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

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

Divide each side by '-1'.
b = 3

Simplifying
b = 3
Solution
b = {-9, 3}