y=2(x-2)(x+3)

Solution for y=2(x-2)(x+3) equation:

Simplifying
y = 2(x + -2)(x + 3)

Reorder the terms:
y = 2(-2 + x)(x + 3)

Reorder the terms:
y = 2(-2 + x)(3 + x)

Multiply (-2 + x) * (3 + x)
y = 2(-2(3 + x) + x(3 + x))
y = 2((3 * -2 + x * -2) + x(3 + x))
y = 2((-6 + -2x) + x(3 + x))
y = 2(-6 + -2x + (3 * x + x * x))
y = 2(-6 + -2x + (3x + x2))

Combine like terms: -2x + 3x = 1x
y = 2(-6 + 1x + x2)
y = (-6 * 2 + 1x * 2 + x2 * 2)
y = (-12 + 2x + 2x2)

Solving
y = -12 + 2x + 2x2

Solving for variable 'y'.

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

Simplifying
y = -12 + 2x + 2x2