6b^2+5b-27=-6

Solution for 6b^2+5b-27=-6 equation:

Simplifying
6b2 + 5b + -27 = -6

Reorder the terms:
-27 + 5b + 6b2 = -6

Solving
-27 + 5b + 6b2 = -6

Solving for variable 'b'.

Reorder the terms:
-27 + 6 + 5b + 6b2 = -6 + 6

Combine like terms: -27 + 6 = -21
-21 + 5b + 6b2 = -6 + 6

Combine like terms: -6 + 6 = 0
-21 + 5b + 6b2 = 0

Factor a trinomial.
(-7 + -3b)(3 + -2b) = 0

Subproblem 1
Set the factor '(-7 + -3b)' equal to zero and attempt to solve:

Simplifying
-7 + -3b = 0

Solving
-7 + -3b = 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 + -3b = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3b = 0 + 7
-3b = 0 + 7

Combine like terms: 0 + 7 = 7
-3b = 7

Divide each side by '-3'.
b = -2.333333333

Simplifying
b = -2.333333333
Subproblem 2
Set the factor '(3 + -2b)' equal to zero and attempt to solve:

Simplifying
3 + -2b = 0

Solving
3 + -2b = 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 + -2b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2b = 0 + -3
-2b = 0 + -3

Combine like terms: 0 + -3 = -3
-2b = -3

Divide each side by '-2'.
b = 1.5

Simplifying
b = 1.5
Solution
b = {-2.333333333, 1.5}