(a-26)(a+144)=0

Solution for (a-26)(a+144)=0 equation:

Simplifying
(a + -26)(a + 144) = 0

Reorder the terms:
(-26 + a)(a + 144) = 0

Reorder the terms:
(-26 + a)(144 + a) = 0

Multiply (-26 + a) * (144 + a)
(-26(144 + a) + a(144 + a)) = 0
((144 * -26 + a * -26) + a(144 + a)) = 0
((-3744 + -26a) + a(144 + a)) = 0
(-3744 + -26a + (144 * a + a * a)) = 0
(-3744 + -26a + (144a + a2)) = 0

Combine like terms: -26a + 144a = 118a
(-3744 + 118a + a2) = 0

Solving
-3744 + 118a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-144 + -1a)(26 + -1a) = 0

Subproblem 1
Set the factor '(-144 + -1a)' equal to zero and attempt to solve:

Simplifying
-144 + -1a = 0

Solving
-144 + -1a = 0

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

Add '144' to each side of the equation.
-144 + 144 + -1a = 0 + 144

Combine like terms: -144 + 144 = 0
0 + -1a = 0 + 144
-1a = 0 + 144

Combine like terms: 0 + 144 = 144
-1a = 144

Divide each side by '-1'.
a = -144

Simplifying
a = -144
Subproblem 2
Set the factor '(26 + -1a)' equal to zero and attempt to solve:

Simplifying
26 + -1a = 0

Solving
26 + -1a = 0

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

Add '-26' to each side of the equation.
26 + -26 + -1a = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -1a = 0 + -26
-1a = 0 + -26

Combine like terms: 0 + -26 = -26
-1a = -26

Divide each side by '-1'.
a = 26

Simplifying
a = 26
Solution
a = {-144, 26}