14b^2-2=-3b

Solution for 14b^2-2=-3b equation:

Simplifying
14b2 + -2 = -3b

Reorder the terms:
-2 + 14b2 = -3b

Solving
-2 + 14b2 = -3b

Solving for variable 'b'.

Reorder the terms:
-2 + 3b + 14b2 = -3b + 3b

Combine like terms: -3b + 3b = 0
-2 + 3b + 14b2 = 0

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

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

Simplifying
-1 + -2b = 0

Solving
-1 + -2b = 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 + -2b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2b = 0 + 1
-2b = 0 + 1

Combine like terms: 0 + 1 = 1
-2b = 1

Divide each side by '-2'.
b = -0.5

Simplifying
b = -0.5
Subproblem 2
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
Solution
b = {-0.5, 0.2857142857}