14b^2=30-23b

Solution for 14b^2=30-23b equation:

Simplifying
14b2 = 30 + -23b

Solving
14b2 = 30 + -23b

Solving for variable 'b'.

Reorder the terms:
-30 + 23b + 14b2 = 30 + -23b + -30 + 23b

Reorder the terms:
-30 + 23b + 14b2 = 30 + -30 + -23b + 23b

Combine like terms: 30 + -30 = 0
-30 + 23b + 14b2 = 0 + -23b + 23b
-30 + 23b + 14b2 = -23b + 23b

Combine like terms: -23b + 23b = 0
-30 + 23b + 14b2 = 0

Factor a trinomial.
(-5 + -2b)(6 + -7b) = 0

Subproblem 1
Set the factor '(-5 + -2b)' equal to zero and attempt to solve:

Simplifying
-5 + -2b = 0

Solving
-5 + -2b = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2b = 0 + 5
-2b = 0 + 5

Combine like terms: 0 + 5 = 5
-2b = 5

Divide each side by '-2'.
b = -2.5

Simplifying
b = -2.5
Subproblem 2
Set the factor '(6 + -7b)' equal to zero and attempt to solve:

Simplifying
6 + -7b = 0

Solving
6 + -7b = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7b = 0 + -6

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

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

Divide each side by '-7'.
b = 0.8571428571

Simplifying
b = 0.8571428571
Solution
b = {-2.5, 0.8571428571}