16b^2-1=-15b

Solution for 16b^2-1=-15b equation:

Simplifying
16b2 + -1 = -15b

Reorder the terms:
-1 + 16b2 = -15b

Solving
-1 + 16b2 = -15b

Solving for variable 'b'.

Reorder the terms:
-1 + 15b + 16b2 = -15b + 15b

Combine like terms: -15b + 15b = 0
-1 + 15b + 16b2 = 0

Factor a trinomial.
(-1 + -1b)(1 + -16b) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + -16b)' equal to zero and attempt to solve:

Simplifying
1 + -16b = 0

Solving
1 + -16b = 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 + -16b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -16b = 0 + -1
-16b = 0 + -1

Combine like terms: 0 + -1 = -1
-16b = -1

Divide each side by '-16'.
b = 0.0625

Simplifying
b = 0.0625
Solution
b = {-1, 0.0625}