7b^2-35=44b

Solution for 7b^2-35=44b equation:

Simplifying
7b2 + -35 = 44b

Reorder the terms:
-35 + 7b2 = 44b

Solving
-35 + 7b2 = 44b

Solving for variable 'b'.

Reorder the terms:
-35 + -44b + 7b2 = 44b + -44b

Combine like terms: 44b + -44b = 0
-35 + -44b + 7b2 = 0

Factor a trinomial.
(-5 + -7b)(7 + -1b) = 0

Subproblem 1
Set the factor '(-5 + -7b)' equal to zero and attempt to solve:

Simplifying
-5 + -7b = 0

Solving
-5 + -7b = 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 + -7b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -7b = 0 + 5
-7b = 0 + 5

Combine like terms: 0 + 5 = 5
-7b = 5

Divide each side by '-7'.
b = -0.7142857143

Simplifying
b = -0.7142857143
Subproblem 2
Set the factor '(7 + -1b)' equal to zero and attempt to solve:

Simplifying
7 + -1b = 0

Solving
7 + -1b = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1b = 0 + -7
-1b = 0 + -7

Combine like terms: 0 + -7 = -7
-1b = -7

Divide each side by '-1'.
b = 7

Simplifying
b = 7
Solution
b = {-0.7142857143, 7}