(-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 = 28b
(-21 + 28b + 49b2) = 0

Solving
-21 + 28b + 49b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-3 + 4b + 7b2) = 0

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

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

Simplifying
-1 + -1b = 0

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

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

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

Divide each side by '-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}