7b^2-44b=-12

Solution for 7b^2-44b=-12 equation:

Simplifying
7b2 + -44b = -12

Reorder the terms:
-44b + 7b2 = -12

Solving
-44b + 7b2 = -12

Solving for variable 'b'.

Reorder the terms:
12 + -44b + 7b2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + -44b + 7b2 = 0

Factor a trinomial.
(2 + -7b)(6 + -1b) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -1b)' equal to zero and attempt to solve:

Simplifying
6 + -1b = 0

Solving
6 + -1b = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1b = 0 + -6
-1b = 0 + -6

Combine like terms: 0 + -6 = -6
-1b = -6

Divide each side by '-1'.
b = 6

Simplifying
b = 6
Solution
b = {0.2857142857, 6}