(12x)(12x)+6=42

Solution for (12x)(12x)+6=42 equation:

Simplifying
(12x)(12x) + 6 = 42

Remove parenthesis around (12x)
12x(12x) + 6 = 42

Remove parenthesis around (12x)
12x * 12x + 6 = 42

Reorder the terms for easier multiplication:
12 * 12x * x + 6 = 42

Multiply 12 * 12
144x * x + 6 = 42

Multiply x * x
144x2 + 6 = 42

Reorder the terms:
6 + 144x2 = 42

Solving
6 + 144x2 = 42

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 144x2 = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 144x2 = 42 + -6
144x2 = 42 + -6

Combine like terms: 42 + -6 = 36
144x2 = 36

Divide each side by '144'.
x2 = 0.25

Simplifying
x2 = 0.25

Take the square root of each side:
x = {-0.5, 0.5}