(ab-8)(ab-10)=

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Solution for (ab-8)(ab-10)= equation: 


Simplifying
(ab + -8)(ab + -10) = 0

Reorder the terms:
(-8 + ab)(ab + -10) = 0

Reorder the terms:
(-8 + ab)(-10 + ab) = 0

Multiply (-8 + ab) * (-10 + ab)
(-8(-10 + ab) + ab(-10 + ab)) = 0
((-10 * -8 + ab * -8) + ab(-10 + ab)) = 0
((80 + -8ab) + ab(-10 + ab)) = 0
(80 + -8ab + (-10 * ab + ab * ab)) = 0
(80 + -8ab + (-10ab + a2b2)) = 0

Combine like terms: -8ab + -10ab = -18ab
(80 + -18ab + a2b2) = 0

Solving
80 + -18ab + a2b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(8 + -1ab)(10 + -1ab) = 0


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

Simplifying
8 + -1ab = 0

Solving
8 + -1ab = 0

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

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

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

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

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

Simplifying
a = 8b-1

Subproblem 2
Set the factor '(10 + -1ab)' equal to zero and attempt to solve:

Simplifying
10 + -1ab = 0

Solving
10 + -1ab = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1ab = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1ab = 0 + -10
-1ab = 0 + -10

Combine like terms: 0 + -10 = -10
-1ab = -10

Divide each side by '-1b'.
a = 10b-1

Simplifying
a = 10b-1
Solution
a = {8b-1, 10b-1}

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