(5a+6)*(5a-6)=

Solution for (5a+6)*(5a-6)= equation:

Simplifying
(5a + 6)(5a + -6) = 0

Reorder the terms:
(6 + 5a)(5a + -6) = 0

Reorder the terms:
(6 + 5a)(-6 + 5a) = 0

Multiply (6 + 5a) * (-6 + 5a)
(6(-6 + 5a) + 5a * (-6 + 5a)) = 0
((-6 * 6 + 5a * 6) + 5a * (-6 + 5a)) = 0
((-36 + 30a) + 5a * (-6 + 5a)) = 0
(-36 + 30a + (-6 * 5a + 5a * 5a)) = 0
(-36 + 30a + (-30a + 25a2)) = 0

Combine like terms: 30a + -30a = 0
(-36 + 0 + 25a2) = 0
(-36 + 25a2) = 0

Solving
-36 + 25a2 = 0

Solving for variable 'a'.

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

Add '36' to each side of the equation.
-36 + 36 + 25a2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 25a2 = 0 + 36
25a2 = 0 + 36

Combine like terms: 0 + 36 = 36
25a2 = 36

Divide each side by '25'.
a2 = 1.44

Simplifying
a2 = 1.44

Take the square root of each side:
a = {-1.2, 1.2}