5b^2+37b+25=7b

Solution for 5b^2+37b+25=7b equation:

Simplifying
5b2 + 37b + 25 = 7b

Reorder the terms:
25 + 37b + 5b2 = 7b

Solving
25 + 37b + 5b2 = 7b

Solving for variable 'b'.

Reorder the terms:
25 + 37b + -7b + 5b2 = 7b + -7b

Combine like terms: 37b + -7b = 30b
25 + 30b + 5b2 = 7b + -7b

Combine like terms: 7b + -7b = 0
25 + 30b + 5b2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(5 + 6b + b2) = 0

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

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

Simplifying
5 + b = 0

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

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

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

Simplifying
b = -5
Subproblem 2
Set the factor '(1 + b)' equal to zero and attempt to solve:

Simplifying
1 + b = 0

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

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

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

Simplifying
b = -1
Solution
b = {-5, -1}