5b^2-35b=40

Solution for 5b^2-35b=40 equation:

Simplifying
5b2 + -35b = 40

Reorder the terms:
-35b + 5b2 = 40

Solving
-35b + 5b2 = 40

Solving for variable 'b'.

Reorder the terms:
-40 + -35b + 5b2 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + -35b + 5b2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-8 + -7b + b2) = 0

Factor a trinomial.
5((-1 + -1b)(8 + -1b)) = 0

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

Simplifying
-1 + -1b = 0

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

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

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

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

Simplifying
b = -1
Subproblem 2
Set the factor '(8 + -1b)' equal to zero and attempt to solve:

Simplifying
8 + -1b = 0

Solving
8 + -1b = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1b = 0 + -8
-1b = 0 + -8

Combine like terms: 0 + -8 = -8
-1b = -8

Divide each side by '-1'.
b = 8

Simplifying
b = 8
Solution
b = {-1, 8}