(a+5)(a-5)=0

Solution for (a+5)(a-5)=0 equation:

Simplifying
(a + 5)(a + -5) = 0

Reorder the terms:
(5 + a)(a + -5) = 0

Reorder the terms:
(5 + a)(-5 + a) = 0

Multiply (5 + a) * (-5 + a)
(5(-5 + a) + a(-5 + a)) = 0
((-5 * 5 + a * 5) + a(-5 + a)) = 0
((-25 + 5a) + a(-5 + a)) = 0
(-25 + 5a + (-5 * a + a * a)) = 0
(-25 + 5a + (-5a + a2)) = 0

Combine like terms: 5a + -5a = 0
(-25 + 0 + a2) = 0
(-25 + a2) = 0

Solving
-25 + a2 = 0

Solving for variable 'a'.

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

Add '25' to each side of the equation.
-25 + 25 + a2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + a2 = 0 + 25
a2 = 0 + 25

Combine like terms: 0 + 25 = 25
a2 = 25

Simplifying
a2 = 25

Take the square root of each side:
a = {-5, 5}