5b^2+10b=15

Solution for 5b^2+10b=15 equation:

Simplifying
5b2 + 10b = 15

Reorder the terms:
10b + 5b2 = 15

Solving
10b + 5b2 = 15

Solving for variable 'b'.

Reorder the terms:
-15 + 10b + 5b2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + 10b + 5b2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-3 + 2b + b2) = 0

Factor a trinomial.
5((-3 + -1b)(1 + -1b)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-3 + -1b)' equal to zero and attempt to solve:

Simplifying
-3 + -1b = 0

Solving
-3 + -1b = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1b = 0 + 3
-1b = 0 + 3

Combine like terms: 0 + 3 = 3
-1b = 3

Divide each side by '-1'.
b = -3

Simplifying
b = -3
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 = {-3, 1}