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

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


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

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

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

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

Combine like terms: -3x + 2x = -1x
y = -3(-6 + -1x + x2)
y = (-6 * -3 + -1x * -3 + x2 * -3)
y = (18 + 3x + -3x2)

Solving
y = 18 + 3x + -3x2

Solving for variable 'y'.

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

Simplifying
y = 18 + 3x + -3x2

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