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

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

Simplifying
4b(-1b + -3) + -2(b2 + -7b + -4) = 0

Reorder the terms:
4b(-3 + -1b) + -2(b2 + -7b + -4) = 0
(-3 * 4b + -1b * 4b) + -2(b2 + -7b + -4) = 0
(-12b + -4b2) + -2(b2 + -7b + -4) = 0

Reorder the terms:
-12b + -4b2 + -2(-4 + -7b + b2) = 0
-12b + -4b2 + (-4 * -2 + -7b * -2 + b2 * -2) = 0
-12b + -4b2 + (8 + 14b + -2b2) = 0

Reorder the terms:
8 + -12b + 14b + -4b2 + -2b2 = 0

Combine like terms: -12b + 14b = 2b
8 + 2b + -4b2 + -2b2 = 0

Combine like terms: -4b2 + -2b2 = -6b2
8 + 2b + -6b2 = 0

Solving
8 + 2b + -6b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + b + -3b2) = 0

Factor a trinomial.
2((4 + -3b)(1 + b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + -3b)' equal to zero and attempt to solve:

Simplifying
4 + -3b = 0

Solving
4 + -3b = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3b = 0 + -4

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

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

Divide each side by '-3'.
b = 1.333333333

Simplifying
b = 1.333333333
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 = {1.333333333, -1}