(7b+3)(-7b-7)=

Solution for (7b+3)(-7b-7)= equation:

Simplifying
(7b + 3)(-7b + -7) = 0

Reorder the terms:
(3 + 7b)(-7b + -7) = 0

Reorder the terms:
(3 + 7b)(-7 + -7b) = 0

Multiply (3 + 7b) * (-7 + -7b)
(3(-7 + -7b) + 7b * (-7 + -7b)) = 0
((-7 * 3 + -7b * 3) + 7b * (-7 + -7b)) = 0
((-21 + -21b) + 7b * (-7 + -7b)) = 0
(-21 + -21b + (-7 * 7b + -7b * 7b)) = 0
(-21 + -21b + (-49b + -49b2)) = 0

Combine like terms: -21b + -49b = -70b
(-21 + -70b + -49b2) = 0

Solving
-21 + -70b + -49b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '-7'.
-7(3 + 10b + 7b2) = 0

Factor a trinomial.
-7((1 + b)(3 + 7b)) = 0

Ignore the factor -7.
Subproblem 1
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
Subproblem 2
Set the factor '(3 + 7b)' equal to zero and attempt to solve:

Simplifying
3 + 7b = 0

Solving
3 + 7b = 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 + 7b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7b = 0 + -3
7b = 0 + -3

Combine like terms: 0 + -3 = -3
7b = -3

Divide each side by '7'.
b = -0.4285714286

Simplifying
b = -0.4285714286
Solution
b = {-1, -0.4285714286}