(15a-1)(1+5)-3=0

Solution for (15a-1)(1+5)-3=0 equation:

Simplifying
(15a + -1)(1 + 5) + -3 = 0

Reorder the terms:
(-1 + 15a)(1 + 5) + -3 = 0

Combine like terms: 1 + 5 = 6
(-1 + 15a)(6) + -3 = 0

Reorder the terms for easier multiplication:
6(-1 + 15a) + -3 = 0
(-1 * 6 + 15a * 6) + -3 = 0
(-6 + 90a) + -3 = 0

Reorder the terms:
-6 + -3 + 90a = 0

Combine like terms: -6 + -3 = -9
-9 + 90a = 0

Solving
-9 + 90a = 0

Solving for variable 'a'.

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

Add '9' to each side of the equation.
-9 + 9 + 90a = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 90a = 0 + 9
90a = 0 + 9

Combine like terms: 0 + 9 = 9
90a = 9

Divide each side by '90'.
a = 0.1

Simplifying
a = 0.1