-4b^2-2b+12=10

Solution for -4b^2-2b+12=10 equation:

Simplifying
-4b2 + -2b + 12 = 10

Reorder the terms:
12 + -2b + -4b2 = 10

Solving
12 + -2b + -4b2 = 10

Solving for variable 'b'.

Reorder the terms:
12 + -10 + -2b + -4b2 = 10 + -10

Combine like terms: 12 + -10 = 2
2 + -2b + -4b2 = 10 + -10

Combine like terms: 10 + -10 = 0
2 + -2b + -4b2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -1b + -2b2) = 0

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

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

Simplifying
1 + -2b = 0

Solving
1 + -2b = 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 + -2b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2b = 0 + -1
-2b = 0 + -1

Combine like terms: 0 + -1 = -1
-2b = -1

Divide each side by '-2'.
b = 0.5

Simplifying
b = 0.5
Subproblem 2
Set the factor '(1 + b)' equal to zero and attempt to solve:

Simplifying
1 + b = 0

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

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

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

Simplifying
b = -1
Solution
b = {0.5, -1}