16b+28b^2-44=0

Solution for 16b+28b^2-44=0 equation:

Simplifying
16b + 28b2 + -44 = 0

Reorder the terms:
-44 + 16b + 28b2 = 0

Solving
-44 + 16b + 28b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-11 + 4b + 7b2) = 0

Factor a trinomial.
4((-11 + -7b)(1 + -1b)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-11 + -7b)' equal to zero and attempt to solve:

Simplifying
-11 + -7b = 0

Solving
-11 + -7b = 0

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

Add '11' to each side of the equation.
-11 + 11 + -7b = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -7b = 0 + 11
-7b = 0 + 11

Combine like terms: 0 + 11 = 11
-7b = 11

Divide each side by '-7'.
b = -1.571428571

Simplifying
b = -1.571428571
Subproblem 2
Set the factor '(1 + -1b)' equal to zero and attempt to solve:

Simplifying
1 + -1b = 0

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

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

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

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

Simplifying
b = 1
Solution
b = {-1.571428571, 1}