35b^2-48b=-16

Solution for 35b^2-48b=-16 equation:

Simplifying
35b2 + -48b = -16

Reorder the terms:
-48b + 35b2 = -16

Solving
-48b + 35b2 = -16

Solving for variable 'b'.

Reorder the terms:
16 + -48b + 35b2 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + -48b + 35b2 = 0

Factor a trinomial.
(4 + -7b)(4 + -5b) = 0

Subproblem 1
Set the factor '(4 + -7b)' equal to zero and attempt to solve:

Simplifying
4 + -7b = 0

Solving
4 + -7b = 0

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

Add '-4' to each side of the equation.
4 + -4 + -7b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7b = 0 + -4
-7b = 0 + -4

Combine like terms: 0 + -4 = -4
-7b = -4

Divide each side by '-7'.
b = 0.5714285714

Simplifying
b = 0.5714285714
Subproblem 2
Set the factor '(4 + -5b)' equal to zero and attempt to solve:

Simplifying
4 + -5b = 0

Solving
4 + -5b = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5b = 0 + -4
-5b = 0 + -4

Combine like terms: 0 + -4 = -4
-5b = -4

Divide each side by '-5'.
b = 0.8

Simplifying
b = 0.8
Solution
b = {0.5714285714, 0.8}