a^2-2a+144=192

Solution for a^2-2a+144=192 equation:

Simplifying
a2 + -2a + 144 = 192

Reorder the terms:
144 + -2a + a2 = 192

Solving
144 + -2a + a2 = 192

Solving for variable 'a'.

Reorder the terms:
144 + -192 + -2a + a2 = 192 + -192

Combine like terms: 144 + -192 = -48
-48 + -2a + a2 = 192 + -192

Combine like terms: 192 + -192 = 0
-48 + -2a + a2 = 0

Factor a trinomial.
(-6 + -1a)(8 + -1a) = 0

Subproblem 1
Set the factor '(-6 + -1a)' equal to zero and attempt to solve:

Simplifying
-6 + -1a = 0

Solving
-6 + -1a = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1a = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1a = 0 + 6
-1a = 0 + 6

Combine like terms: 0 + 6 = 6
-1a = 6

Divide each side by '-1'.
a = -6

Simplifying
a = -6
Subproblem 2
Set the factor '(8 + -1a)' equal to zero and attempt to solve:

Simplifying
8 + -1a = 0

Solving
8 + -1a = 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 + -1a = 0 + -8

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

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

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

Simplifying
a = 8
Solution
a = {-6, 8}