4a*12a-3+2=11

Solution for 4a*12a-3+2=11 equation:

Simplifying
4a * 12a + -3 + 2 = 11

Reorder the terms for easier multiplication:
4 * 12a * a + -3 + 2 = 11

Multiply 4 * 12
48a * a + -3 + 2 = 11

Multiply a * a
48a2 + -3 + 2 = 11

Reorder the terms:
-3 + 2 + 48a2 = 11

Combine like terms: -3 + 2 = -1
-1 + 48a2 = 11

Solving
-1 + 48a2 = 11

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 + 48a2 = 11 + 1

Combine like terms: -1 + 1 = 0
0 + 48a2 = 11 + 1
48a2 = 11 + 1

Combine like terms: 11 + 1 = 12
48a2 = 12

Divide each side by '48'.
a2 = 0.25

Simplifying
a2 = 0.25

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