25b^2-70b-120=

Solution for 25b^2-70b-120= equation:

Simplifying
25b2 + -70b + -120 = 0

Reorder the terms:
-120 + -70b + 25b2 = 0

Solving
-120 + -70b + 25b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-24 + -14b + 5b2) = 0

Factor a trinomial.
5((-6 + -5b)(4 + -1b)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-6 + -5b)' equal to zero and attempt to solve:

Simplifying
-6 + -5b = 0

Solving
-6 + -5b = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5b = 0 + 6
-5b = 0 + 6

Combine like terms: 0 + 6 = 6
-5b = 6

Divide each side by '-5'.
b = -1.2

Simplifying
b = -1.2
Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve:

Simplifying
4 + -1b = 0

Solving
4 + -1b = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1b = 0 + -4
-1b = 0 + -4

Combine like terms: 0 + -4 = -4
-1b = -4

Divide each side by '-1'.
b = 4

Simplifying
b = 4
Solution
b = {-1.2, 4}