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

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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

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