Y=3(x-3)(x+5)

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


Simplifying
Y = 3(x + -3)(x + 5)

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

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

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

Combine like terms: -3x + 5x = 2x
Y = 3(-15 + 2x + x2)
Y = (-15 * 3 + 2x * 3 + x2 * 3)
Y = (-45 + 6x + 3x2)

Solving
Y = -45 + 6x + 3x2

Solving for variable 'Y'.

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

Simplifying
Y = -45 + 6x + 3x2

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