10b^2+58b-12=0

Solution for 10b^2+58b-12=0 equation:

Simplifying
10b2 + 58b + -12 = 0

Reorder the terms:
-12 + 58b + 10b2 = 0

Solving
-12 + 58b + 10b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 29b + 5b2) = 0

Factor a trinomial.
2((-6 + -1b)(1 + -5b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-6 + -1b)' equal to zero and attempt to solve:

Simplifying
-6 + -1b = 0

Solving
-6 + -1b = 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 + -1b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1b = 0 + 6
-1b = 0 + 6

Combine like terms: 0 + 6 = 6
-1b = 6

Divide each side by '-1'.
b = -6

Simplifying
b = -6
Subproblem 2
Set the factor '(1 + -5b)' equal to zero and attempt to solve:

Simplifying
1 + -5b = 0

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

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

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

Divide each side by '-5'.
b = 0.2

Simplifying
b = 0.2
Solution
b = {-6, 0.2}