4b^2+20b-98=-2

Solution for 4b^2+20b-98=-2 equation:

Simplifying
4b2 + 20b + -98 = -2

Reorder the terms:
-98 + 20b + 4b2 = -2

Solving
-98 + 20b + 4b2 = -2

Solving for variable 'b'.

Reorder the terms:
-98 + 2 + 20b + 4b2 = -2 + 2

Combine like terms: -98 + 2 = -96
-96 + 20b + 4b2 = -2 + 2

Combine like terms: -2 + 2 = 0
-96 + 20b + 4b2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-24 + 5b + b2) = 0

Factor a trinomial.
4((-8 + -1b)(3 + -1b)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-8 + -1b)' equal to zero and attempt to solve:

Simplifying
-8 + -1b = 0

Solving
-8 + -1b = 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 + -1b = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1b = 0 + 8
-1b = 0 + 8

Combine like terms: 0 + 8 = 8
-1b = 8

Divide each side by '-1'.
b = -8

Simplifying
b = -8
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 = {-8, 3}