y=-2(x+3)(x-5)

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Solution for y=-2(x+3)(x-5) equation: 


Simplifying
y = -2(x + 3)(x + -5)

Reorder the terms:
y = -2(3 + x)(x + -5)

Reorder the terms:
y = -2(3 + x)(-5 + x)

Multiply (3 + x) * (-5 + x)
y = -2(3(-5 + x) + x(-5 + x))
y = -2((-5 * 3 + x * 3) + x(-5 + x))
y = -2((-15 + 3x) + x(-5 + x))
y = -2(-15 + 3x + (-5 * x + x * x))
y = -2(-15 + 3x + (-5x + x2))

Combine like terms: 3x + -5x = -2x
y = -2(-15 + -2x + x2)
y = (-15 * -2 + -2x * -2 + x2 * -2)
y = (30 + 4x + -2x2)

Solving
y = 30 + 4x + -2x2

Solving for variable 'y'.

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

Simplifying
y = 30 + 4x + -2x2

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