(a-2)(a-13)=

Solution for (a-2)(a-13)= equation:

Simplifying
(a + -2)(a + -13) = 0

Reorder the terms:
(-2 + a)(a + -13) = 0

Reorder the terms:
(-2 + a)(-13 + a) = 0

Multiply (-2 + a) * (-13 + a)
(-2(-13 + a) + a(-13 + a)) = 0
((-13 * -2 + a * -2) + a(-13 + a)) = 0
((26 + -2a) + a(-13 + a)) = 0
(26 + -2a + (-13 * a + a * a)) = 0
(26 + -2a + (-13a + a2)) = 0

Combine like terms: -2a + -13a = -15a
(26 + -15a + a2) = 0

Solving
26 + -15a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2 + -1a)(13 + -1a) = 0

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

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = 0 + -2
-1a = 0 + -2

Combine like terms: 0 + -2 = -2
-1a = -2

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Subproblem 2
Set the factor '(13 + -1a)' equal to zero and attempt to solve:

Simplifying
13 + -1a = 0

Solving
13 + -1a = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1a = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1a = 0 + -13
-1a = 0 + -13

Combine like terms: 0 + -13 = -13
-1a = -13

Divide each side by '-1'.
a = 13

Simplifying
a = 13
Solution
a = {2, 13}