10b^2+20b-86=-6

Solution for 10b^2+20b-86=-6 equation:

Simplifying
10b2 + 20b + -86 = -6

Reorder the terms:
-86 + 20b + 10b2 = -6

Solving
-86 + 20b + 10b2 = -6

Solving for variable 'b'.

Reorder the terms:
-86 + 6 + 20b + 10b2 = -6 + 6

Combine like terms: -86 + 6 = -80
-80 + 20b + 10b2 = -6 + 6

Combine like terms: -6 + 6 = 0
-80 + 20b + 10b2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-8 + 2b + b2) = 0

Factor a trinomial.
10((-4 + -1b)(2 + -1b)) = 0

Ignore the factor 10.
Subproblem 1
Set the factor '(-4 + -1b)' equal to zero and attempt to solve:

Simplifying
-4 + -1b = 0

Solving
-4 + -1b = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1b = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1b = 0 + 4
-1b = 0 + 4

Combine like terms: 0 + 4 = 4
-1b = 4

Divide each side by '-1'.
b = -4

Simplifying
b = -4
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 = {-4, 2}