(12y*12y-144)=(3y*3y)

Solution for (12y*12y-144)=(3y*3y) equation:

Simplifying
(12y * 12y + -144) = (3y * 3y)

Reorder the terms for easier multiplication:
(12 * 12y * y + -144) = (3y * 3y)

Multiply 12 * 12
(144y * y + -144) = (3y * 3y)

Multiply y * y
(144y2 + -144) = (3y * 3y)

Reorder the terms:
(-144 + 144y2) = (3y * 3y)

Remove parenthesis around (-144 + 144y2)
-144 + 144y2 = (3y * 3y)

Reorder the terms for easier multiplication:
-144 + 144y2 = (3 * 3y * y)

Multiply 3 * 3
-144 + 144y2 = (9y * y)

Multiply y * y
-144 + 144y2 = (9y2)

Solving
-144 + 144y2 = (9y2)

Solving for variable 'y'.

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

Add '(-9y2)' to each side of the equation.
-144 + 144y2 + (-9y2) = (9y2) + (-9y2)

Combine like terms: 144y2 + (-9y2) = 135y2
-144 + 135y2 = (9y2) + (-9y2)

Combine like terms: (9y2) + (-9y2) = 0
-144 + 135y2 = 0

Add '144' to each side of the equation.
-144 + 144 + 135y2 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + 135y2 = 0 + 144
135y2 = 0 + 144

Combine like terms: 0 + 144 = 144
135y2 = 144

Divide each side by '135'.
y2 = 1.066666667

Simplifying
y2 = 1.066666667

Take the square root of each side:
y = {-1.032795559, 1.032795559}