14b*b-12b-32=

Solution for 14b*b-12b-32= equation:

Simplifying
14b * b + -12b + -32 = 0

Multiply b * b
14b2 + -12b + -32 = 0

Reorder the terms:
-32 + -12b + 14b2 = 0

Solving
-32 + -12b + 14b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + -6b + 7b2) = 0

Factor a trinomial.
2((-8 + -7b)(2 + -1b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-8 + -7b)' equal to zero and attempt to solve:

Simplifying
-8 + -7b = 0

Solving
-8 + -7b = 0

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

Add '8' to each side of the equation.
-8 + 8 + -7b = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7b = 0 + 8
-7b = 0 + 8

Combine like terms: 0 + 8 = 8
-7b = 8

Divide each side by '-7'.
b = -1.142857143

Simplifying
b = -1.142857143
Subproblem 2
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
Solution
b = {-1.142857143, 2}