Y=-4(x+2)(x+3)

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Solution for Y=-4(x+2)(x+3) equation:


Simplifying
Y = -4(x + 2)(x + 3)

Reorder the terms:
Y = -4(2 + x)(x + 3)

Reorder the terms:
Y = -4(2 + x)(3 + x)

Multiply (2 + x) * (3 + x)
Y = -4(2(3 + x) + x(3 + x))
Y = -4((3 * 2 + x * 2) + x(3 + x))
Y = -4((6 + 2x) + x(3 + x))
Y = -4(6 + 2x + (3 * x + x * x))
Y = -4(6 + 2x + (3x + x2))

Combine like terms: 2x + 3x = 5x
Y = -4(6 + 5x + x2)
Y = (6 * -4 + 5x * -4 + x2 * -4)
Y = (-24 + -20x + -4x2)

Solving
Y = -24 + -20x + -4x2

Solving for variable 'Y'.

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

Simplifying
Y = -24 + -20x + -4x2

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