(12a+1)(12a-1)=100

Solution for (12a+1)(12a-1)=100 equation:

Simplifying
(12a + 1)(12a + -1) = 100

Reorder the terms:
(1 + 12a)(12a + -1) = 100

Reorder the terms:
(1 + 12a)(-1 + 12a) = 100

Multiply (1 + 12a) * (-1 + 12a)
(1(-1 + 12a) + 12a * (-1 + 12a)) = 100
((-1 * 1 + 12a * 1) + 12a * (-1 + 12a)) = 100
((-1 + 12a) + 12a * (-1 + 12a)) = 100
(-1 + 12a + (-1 * 12a + 12a * 12a)) = 100
(-1 + 12a + (-12a + 144a2)) = 100

Combine like terms: 12a + -12a = 0
(-1 + 0 + 144a2) = 100
(-1 + 144a2) = 100

Solving
-1 + 144a2 = 100

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 1 + 144a2 = 100 + 1

Combine like terms: -1 + 1 = 0
0 + 144a2 = 100 + 1
144a2 = 100 + 1

Combine like terms: 100 + 1 = 101
144a2 = 101

Divide each side by '144'.
a2 = 0.7013888889

Simplifying
a2 = 0.7013888889

Take the square root of each side:
a = {-0.837489635, 0.837489635}