(-6b^2+4b+6)-(6b^2+7b-3)=

Solution for (-6b^2+4b+6)-(6b^2+7b-3)= equation:

Simplifying
(-6b2 + 4b + 6) + -1(6b2 + 7b + -3) = 0

Reorder the terms:
(6 + 4b + -6b2) + -1(6b2 + 7b + -3) = 0

Remove parenthesis around (6 + 4b + -6b2)
6 + 4b + -6b2 + -1(6b2 + 7b + -3) = 0

Reorder the terms:
6 + 4b + -6b2 + -1(-3 + 7b + 6b2) = 0
6 + 4b + -6b2 + (-3 * -1 + 7b * -1 + 6b2 * -1) = 0
6 + 4b + -6b2 + (3 + -7b + -6b2) = 0

Reorder the terms:
6 + 3 + 4b + -7b + -6b2 + -6b2 = 0

Combine like terms: 6 + 3 = 9
9 + 4b + -7b + -6b2 + -6b2 = 0

Combine like terms: 4b + -7b = -3b
9 + -3b + -6b2 + -6b2 = 0

Combine like terms: -6b2 + -6b2 = -12b2
9 + -3b + -12b2 = 0

Solving
9 + -3b + -12b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3'.
3(3 + -1b + -4b2) = 0

Factor a trinomial.
3((3 + -4b)(1 + b)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(3 + -4b)' equal to zero and attempt to solve:

Simplifying
3 + -4b = 0

Solving
3 + -4b = 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 + -4b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4b = 0 + -3
-4b = 0 + -3

Combine like terms: 0 + -3 = -3
-4b = -3

Divide each side by '-4'.
b = 0.75

Simplifying
b = 0.75
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 = {0.75, -1}