25b+35b^2-60=

Solution for 25b+35b^2-60= equation:

Simplifying
25b + 35b2 + -60 = 0

Reorder the terms:
-60 + 25b + 35b2 = 0

Solving
-60 + 25b + 35b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-12 + 5b + 7b2) = 0

Factor a trinomial.
5((-12 + -7b)(1 + -1b)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-12 + -7b)' equal to zero and attempt to solve:

Simplifying
-12 + -7b = 0

Solving
-12 + -7b = 0

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

Add '12' to each side of the equation.
-12 + 12 + -7b = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -7b = 0 + 12
-7b = 0 + 12

Combine like terms: 0 + 12 = 12
-7b = 12

Divide each side by '-7'.
b = -1.714285714

Simplifying
b = -1.714285714
Subproblem 2
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
Solution
b = {-1.714285714, 1}