-10b^2-9b+4=-5

Solution for -10b^2-9b+4=-5 equation:

Simplifying
-10b2 + -9b + 4 = -5

Reorder the terms:
4 + -9b + -10b2 = -5

Solving
4 + -9b + -10b2 = -5

Solving for variable 'b'.

Reorder the terms:
4 + 5 + -9b + -10b2 = -5 + 5

Combine like terms: 4 + 5 = 9
9 + -9b + -10b2 = -5 + 5

Combine like terms: -5 + 5 = 0
9 + -9b + -10b2 = 0

Factor a trinomial.
(3 + -5b)(3 + 2b) = 0

Subproblem 1
Set the factor '(3 + -5b)' equal to zero and attempt to solve:

Simplifying
3 + -5b = 0

Solving
3 + -5b = 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 + -5b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5b = 0 + -3
-5b = 0 + -3

Combine like terms: 0 + -3 = -3
-5b = -3

Divide each side by '-5'.
b = 0.6

Simplifying
b = 0.6
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 = {0.6, -1.5}