y=-(x-3)(x+1)

Solution for y=-(x-3)(x+1) equation:

Simplifying
y = -1(x + -3)(x + 1)

Reorder the terms:
y = -1(-3 + x)(x + 1)

Reorder the terms:
y = -1(-3 + x)(1 + x)

Multiply (-3 + x) * (1 + x)
y = -1(-3(1 + x) + x(1 + x))
y = -1((1 * -3 + x * -3) + x(1 + x))
y = -1((-3 + -3x) + x(1 + x))
y = -1(-3 + -3x + (1 * x + x * x))
y = -1(-3 + -3x + (1x + x2))

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

Solving
y = 3 + 2x + -1x2

Solving for variable 'y'.

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

Simplifying
y = 3 + 2x + -1x2