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.
(-2 + -7b)(1 + -2b) = 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 '(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
Solution
b = {-0.2857142857, 0.5}