14b^2-48b-38=-6

Solution for 14b^2-48b-38=-6 equation:

Simplifying
14b2 + -48b + -38 = -6

Reorder the terms:
-38 + -48b + 14b2 = -6

Solving
-38 + -48b + 14b2 = -6

Solving for variable 'b'.

Reorder the terms:
-38 + 6 + -48b + 14b2 = -6 + 6

Combine like terms: -38 + 6 = -32
-32 + -48b + 14b2 = -6 + 6

Combine like terms: -6 + 6 = 0
-32 + -48b + 14b2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + -24b + 7b2) = 0

Factor a trinomial.
2((-4 + -7b)(4 + -1b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + -7b)' equal to zero and attempt to solve:

Simplifying
-4 + -7b = 0

Solving
-4 + -7b = 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 + -7b = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -7b = 0 + 4
-7b = 0 + 4

Combine like terms: 0 + 4 = 4
-7b = 4

Divide each side by '-7'.
b = -0.5714285714

Simplifying
b = -0.5714285714
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 = {-0.5714285714, 4}