0=5b^2+32b+35

Solution for 0=5b^2+32b+35 equation:

Simplifying
0 = 5b2 + 32b + 35

Reorder the terms:
0 = 35 + 32b + 5b2

Solving
0 = 35 + 32b + 5b2

Solving for variable 'b'.

Combine like terms: 0 + -35 = -35
-35 + -32b + -5b2 = 35 + 32b + 5b2 + -35 + -32b + -5b2

Reorder the terms:
-35 + -32b + -5b2 = 35 + -35 + 32b + -32b + 5b2 + -5b2

Combine like terms: 35 + -35 = 0
-35 + -32b + -5b2 = 0 + 32b + -32b + 5b2 + -5b2
-35 + -32b + -5b2 = 32b + -32b + 5b2 + -5b2

Combine like terms: 32b + -32b = 0
-35 + -32b + -5b2 = 0 + 5b2 + -5b2
-35 + -32b + -5b2 = 5b2 + -5b2

Combine like terms: 5b2 + -5b2 = 0
-35 + -32b + -5b2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(35 + 32b + 5b2) = 0

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

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

Simplifying
7 + 5b = 0

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

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

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

Divide each side by '5'.
b = -1.4

Simplifying
b = -1.4
Solution
b = {-5, -1.4}