5b+5b+6b^2-10-3b=

Solution for 5b+5b+6b^2-10-3b= equation:

Simplifying
5b + 5b + 6b2 + -10 + -3b = 0

Reorder the terms:
-10 + 5b + 5b + -3b + 6b2 = 0

Combine like terms: 5b + 5b = 10b
-10 + 10b + -3b + 6b2 = 0

Combine like terms: 10b + -3b = 7b
-10 + 7b + 6b2 = 0

Solving
-10 + 7b + 6b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-2 + -1b)(5 + -6b) = 0

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

Simplifying
-2 + -1b = 0

Solving
-2 + -1b = 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 + -1b = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1b = 0 + 2
-1b = 0 + 2

Combine like terms: 0 + 2 = 2
-1b = 2

Divide each side by '-1'.
b = -2

Simplifying
b = -2
Subproblem 2
Set the factor '(5 + -6b)' equal to zero and attempt to solve:

Simplifying
5 + -6b = 0

Solving
5 + -6b = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6b = 0 + -5
-6b = 0 + -5

Combine like terms: 0 + -5 = -5
-6b = -5

Divide each side by '-6'.
b = 0.8333333333

Simplifying
b = 0.8333333333
Solution
b = {-2, 0.8333333333}