7b^2+9b+10=8

Solution for 7b^2+9b+10=8 equation:

Simplifying
7b2 + 9b + 10 = 8

Reorder the terms:
10 + 9b + 7b2 = 8

Solving
10 + 9b + 7b2 = 8

Solving for variable 'b'.

Reorder the terms:
10 + -8 + 9b + 7b2 = 8 + -8

Combine like terms: 10 + -8 = 2
2 + 9b + 7b2 = 8 + -8

Combine like terms: 8 + -8 = 0
2 + 9b + 7b2 = 0

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

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 '(2 + 7b)' equal to zero and attempt to solve:

Simplifying
2 + 7b = 0

Solving
2 + 7b = 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 + 7b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7b = 0 + -2
7b = 0 + -2

Combine like terms: 0 + -2 = -2
7b = -2

Divide each side by '7'.
b = -0.2857142857

Simplifying
b = -0.2857142857
Solution
b = {-1, -0.2857142857}