7b^2+2=9b

Solution for 7b^2+2=9b equation:

Simplifying
7b2 + 2 = 9b

Reorder the terms:
2 + 7b2 = 9b

Solving
2 + 7b2 = 9b

Solving for variable 'b'.

Reorder the terms:
2 + -9b + 7b2 = 9b + -9b

Combine like terms: 9b + -9b = 0
2 + -9b + 7b2 = 0

Factor a trinomial.
(2 + -7b)(1 + -1b) = 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 + -1b)' equal to zero and attempt to solve:

Simplifying
1 + -1b = 0

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

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

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

Divide each side by '-1'.
b = 1

Simplifying
b = 1
Solution
b = {0.2857142857, 1}