b^2+4b-15=-3

Solution for b^2+4b-15=-3 equation:

Simplifying
b2 + 4b + -15 = -3

Reorder the terms:
-15 + 4b + b2 = -3

Solving
-15 + 4b + b2 = -3

Solving for variable 'b'.

Reorder the terms:
-15 + 3 + 4b + b2 = -3 + 3

Combine like terms: -15 + 3 = -12
-12 + 4b + b2 = -3 + 3

Combine like terms: -3 + 3 = 0
-12 + 4b + b2 = 0

Factor a trinomial.
(-6 + -1b)(2 + -1b) = 0

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

Simplifying
-6 + -1b = 0

Solving
-6 + -1b = 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 + -1b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1b = 0 + 6
-1b = 0 + 6

Combine like terms: 0 + 6 = 6
-1b = 6

Divide each side by '-1'.
b = -6

Simplifying
b = -6
Subproblem 2
Set the factor '(2 + -1b)' equal to zero and attempt to solve:

Simplifying
2 + -1b = 0

Solving
2 + -1b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1b = 0 + -2
-1b = 0 + -2

Combine like terms: 0 + -2 = -2
-1b = -2

Divide each side by '-1'.
b = 2

Simplifying
b = 2
Solution
b = {-6, 2}