y=3(x-6)(x+6)+108

Solution for y=3(x-6)(x+6)+108 equation:

Simplifying
y = 3(x + -6)(x + 6) + 108

Reorder the terms:
y = 3(-6 + x)(x + 6) + 108

Reorder the terms:
y = 3(-6 + x)(6 + x) + 108

Multiply (-6 + x) * (6 + x)
y = 3(-6(6 + x) + x(6 + x)) + 108
y = 3((6 * -6 + x * -6) + x(6 + x)) + 108
y = 3((-36 + -6x) + x(6 + x)) + 108
y = 3(-36 + -6x + (6 * x + x * x)) + 108
y = 3(-36 + -6x + (6x + x2)) + 108

Combine like terms: -6x + 6x = 0
y = 3(-36 + 0 + x2) + 108
y = 3(-36 + x2) + 108
y = (-36 * 3 + x2 * 3) + 108
y = (-108 + 3x2) + 108

Reorder the terms:
y = -108 + 108 + 3x2

Combine like terms: -108 + 108 = 0
y = 0 + 3x2
y = 3x2

Solving
y = 3x2

Solving for variable 'y'.

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

Simplifying
y = 3x2