35b^2-165b-50=

Solution for 35b^2-165b-50= equation:

Simplifying
35b2 + -165b + -50 = 0

Reorder the terms:
-50 + -165b + 35b2 = 0

Solving
-50 + -165b + 35b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-10 + -33b + 7b2) = 0

Factor a trinomial.
5((-2 + -7b)(5 + -1b)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-2 + -7b)' equal to zero and attempt to solve:

Simplifying
-2 + -7b = 0

Solving
-2 + -7b = 0

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

Add '2' to each side of the equation.
-2 + 2 + -7b = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -7b = 0 + 2
-7b = 0 + 2

Combine like terms: 0 + 2 = 2
-7b = 2

Divide each side by '-7'.
b = -0.2857142857

Simplifying
b = -0.2857142857
Subproblem 2
Set the factor '(5 + -1b)' equal to zero and attempt to solve:

Simplifying
5 + -1b = 0

Solving
5 + -1b = 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 + -1b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1b = 0 + -5
-1b = 0 + -5

Combine like terms: 0 + -5 = -5
-1b = -5

Divide each side by '-1'.
b = 5

Simplifying
b = 5
Solution
b = {-0.2857142857, 5}