49b^2-7b-12=-6

Solution for 49b^2-7b-12=-6 equation:

Simplifying
49b2 + -7b + -12 = -6

Reorder the terms:
-12 + -7b + 49b2 = -6

Solving
-12 + -7b + 49b2 = -6

Solving for variable 'b'.

Reorder the terms:
-12 + 6 + -7b + 49b2 = -6 + 6

Combine like terms: -12 + 6 = -6
-6 + -7b + 49b2 = -6 + 6

Combine like terms: -6 + 6 = 0
-6 + -7b + 49b2 = 0

Factor a trinomial.
(-2 + -7b)(3 + -7b) = 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 '(3 + -7b)' equal to zero and attempt to solve:

Simplifying
3 + -7b = 0

Solving
3 + -7b = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7b = 0 + -3
-7b = 0 + -3

Combine like terms: 0 + -3 = -3
-7b = -3

Divide each side by '-7'.
b = 0.4285714286

Simplifying
b = 0.4285714286
Solution
b = {-0.2857142857, 0.4285714286}