2b^2+b-76=-10b

Solution for 2b^2+b-76=-10b equation:

Simplifying
2b2 + b + -76 = -10b

Reorder the terms:
-76 + b + 2b2 = -10b

Solving
-76 + b + 2b2 = -10b

Solving for variable 'b'.

Reorder the terms:
-76 + b + 10b + 2b2 = -10b + 10b

Combine like terms: b + 10b = 11b
-76 + 11b + 2b2 = -10b + 10b

Combine like terms: -10b + 10b = 0
-76 + 11b + 2b2 = 0

Factor a trinomial.
(-19 + -2b)(4 + -1b) = 0

Subproblem 1
Set the factor '(-19 + -2b)' equal to zero and attempt to solve:

Simplifying
-19 + -2b = 0

Solving
-19 + -2b = 0

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

Add '19' to each side of the equation.
-19 + 19 + -2b = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -2b = 0 + 19
-2b = 0 + 19

Combine like terms: 0 + 19 = 19
-2b = 19

Divide each side by '-2'.
b = -9.5

Simplifying
b = -9.5
Subproblem 2
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
Solution
b = {-9.5, 4}