(b-8)(b-7)=0

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Solution for (b-8)(b-7)=0 equation: 


Simplifying
(b + -8)(b + -7) = 0

Reorder the terms:
(-8 + b)(b + -7) = 0

Reorder the terms:
(-8 + b)(-7 + b) = 0

Multiply (-8 + b) * (-7 + b)
(-8(-7 + b) + b(-7 + b)) = 0
((-7 * -8 + b * -8) + b(-7 + b)) = 0
((56 + -8b) + b(-7 + b)) = 0
(56 + -8b + (-7 * b + b * b)) = 0
(56 + -8b + (-7b + b2)) = 0

Combine like terms: -8b + -7b = -15b
(56 + -15b + b2) = 0

Solving
56 + -15b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(7 + -1b)(8 + -1b) = 0


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

Simplifying
7 + -1b = 0

Solving
7 + -1b = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1b = 0 + -7
-1b = 0 + -7

Combine like terms: 0 + -7 = -7
-1b = -7

Divide each side by '-1'.
b = 7

Simplifying
b = 7

Subproblem 2
Set the factor '(8 + -1b)' equal to zero and attempt to solve:

Simplifying
8 + -1b = 0

Solving
8 + -1b = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1b = 0 + -8
-1b = 0 + -8

Combine like terms: 0 + -8 = -8
-1b = -8

Divide each side by '-1'.
b = 8

Simplifying
b = 8
Solution
b = {7, 8}

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