(7a-b)(a+8b)=

Solution for (7a-b)(a+8b)= equation:

Simplifying
(7a + -1b)(a + 8b) = 0

Multiply (7a + -1b) * (a + 8b)
(7a * (a + 8b) + -1b * (a + 8b)) = 0
((a * 7a + 8b * 7a) + -1b * (a + 8b)) = 0

Reorder the terms:
((56ab + 7a2) + -1b * (a + 8b)) = 0
((56ab + 7a2) + -1b * (a + 8b)) = 0
(56ab + 7a2 + (a * -1b + 8b * -1b)) = 0
(56ab + 7a2 + (-1ab + -8b2)) = 0

Reorder the terms:
(56ab + -1ab + 7a2 + -8b2) = 0

Combine like terms: 56ab + -1ab = 55ab
(55ab + 7a2 + -8b2) = 0

Solving
55ab + 7a2 + -8b2 = 0

Solving for variable 'a'.

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

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

Simplifying
7a + -1b = 0

Solving
7a + -1b = 0

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

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

Combine like terms: -1b + b = 0
7a + 0 = 0 + b
7a = 0 + b
Remove the zero:
7a = b

Divide each side by '7'.
a = 0.1428571429b

Simplifying
a = 0.1428571429b
Subproblem 2
Set the factor '(a + 8b)' equal to zero and attempt to solve:

Simplifying
a + 8b = 0

Solving
a + 8b = 0

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

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

Combine like terms: 8b + -8b = 0
a + 0 = 0 + -8b
a = 0 + -8b
Remove the zero:
a = -8b

Simplifying
a = -8b
Solution
a = {0.1428571429b, -8b}