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

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

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

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

Multiply 3 * 3
(9y * y) = (12y * 12y) + -144

Multiply y * y
(9y2) = (12y * 12y) + -144

Reorder the terms for easier multiplication:
(9y2) = (12 * 12y * y) + -144

Multiply 12 * 12
(9y2) = (144y * y) + -144

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

Reorder the terms:
(9y2) = -144 + (144y2)

Solving
(9y2) = -144 + (144y2)

Solving for variable 'y'.

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

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

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

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