-5b^2-10b+3=8

Solution for -5b^2-10b+3=8 equation:

Simplifying
-5b2 + -10b + 3 = 8

Reorder the terms:
3 + -10b + -5b2 = 8

Solving
3 + -10b + -5b2 = 8

Solving for variable 'b'.

Reorder the terms:
3 + -8 + -10b + -5b2 = 8 + -8

Combine like terms: 3 + -8 = -5
-5 + -10b + -5b2 = 8 + -8

Combine like terms: 8 + -8 = 0
-5 + -10b + -5b2 = 0

Factor out the Greatest Common Factor (GCF), '-5'.
-5(1 + 2b + b2) = 0

Factor a trinomial.
-5((1 + b)(1 + b)) = 0

Ignore the factor -5.
Subproblem 1
Set the factor '(1 + b)' equal to zero and attempt to solve:

Simplifying
1 + b = 0

Solving
1 + b = 0

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

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

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

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

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

Simplifying
1 + b = 0

Solving
1 + b = 0

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

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

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

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

Simplifying
b = -1
Solution
b = {-1, -1}