7b^2-45b+16=-2

Solution for 7b^2-45b+16=-2 equation:

Simplifying
7b2 + -45b + 16 = -2

Reorder the terms:
16 + -45b + 7b2 = -2

Solving
16 + -45b + 7b2 = -2

Solving for variable 'b'.

Reorder the terms:
16 + 2 + -45b + 7b2 = -2 + 2

Combine like terms: 16 + 2 = 18
18 + -45b + 7b2 = -2 + 2

Combine like terms: -2 + 2 = 0
18 + -45b + 7b2 = 0

Factor a trinomial.
(3 + -7b)(6 + -1b) = 0

Subproblem 1
Set the factor '(3 + -7b)' equal to zero and attempt to solve:

Simplifying
3 + -7b = 0

Solving
3 + -7b = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7b = 0 + -3
-7b = 0 + -3

Combine like terms: 0 + -3 = -3
-7b = -3

Divide each side by '-7'.
b = 0.4285714286

Simplifying
b = 0.4285714286
Subproblem 2
Set the factor '(6 + -1b)' equal to zero and attempt to solve:

Simplifying
6 + -1b = 0

Solving
6 + -1b = 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 + -1b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1b = 0 + -6
-1b = 0 + -6

Combine like terms: 0 + -6 = -6
-1b = -6

Divide each side by '-1'.
b = 6

Simplifying
b = 6
Solution
b = {0.4285714286, 6}