3(y-3)=(x+6)(x+6)

Solution for 3(y-3)=(x+6)(x+6) equation:

Simplifying
3(y + -3) = (x + 6)(x + 6)

Reorder the terms:
3(-3 + y) = (x + 6)(x + 6)
(-3 * 3 + y * 3) = (x + 6)(x + 6)
(-9 + 3y) = (x + 6)(x + 6)

Reorder the terms:
-9 + 3y = (6 + x)(x + 6)

Reorder the terms:
-9 + 3y = (6 + x)(6 + x)

Multiply (6 + x) * (6 + x)
-9 + 3y = (6(6 + x) + x(6 + x))
-9 + 3y = ((6 * 6 + x * 6) + x(6 + x))
-9 + 3y = ((36 + 6x) + x(6 + x))
-9 + 3y = (36 + 6x + (6 * x + x * x))
-9 + 3y = (36 + 6x + (6x + x2))

Combine like terms: 6x + 6x = 12x
-9 + 3y = (36 + 12x + x2)

Solving
-9 + 3y = 36 + 12x + x2

Solving for variable 'y'.

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

Add '9' to each side of the equation.
-9 + 9 + 3y = 36 + 12x + 9 + x2

Combine like terms: -9 + 9 = 0
0 + 3y = 36 + 12x + 9 + x2
3y = 36 + 12x + 9 + x2

Reorder the terms:
3y = 36 + 9 + 12x + x2

Combine like terms: 36 + 9 = 45
3y = 45 + 12x + x2

Divide each side by '3'.
y = 15 + 4x + 0.3333333333x2

Simplifying
y = 15 + 4x + 0.3333333333x2