Y=-(x-1)(x+5)

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Solution for Y=-(x-1)(x+5) equation:


Simplifying
Y = -1(x + -1)(x + 5)

Reorder the terms:
Y = -1(-1 + x)(x + 5)

Reorder the terms:
Y = -1(-1 + x)(5 + x)

Multiply (-1 + x) * (5 + x)
Y = -1(-1(5 + x) + x(5 + x))
Y = -1((5 * -1 + x * -1) + x(5 + x))
Y = -1((-5 + -1x) + x(5 + x))
Y = -1(-5 + -1x + (5 * x + x * x))
Y = -1(-5 + -1x + (5x + x2))

Combine like terms: -1x + 5x = 4x
Y = -1(-5 + 4x + x2)
Y = (-5 * -1 + 4x * -1 + x2 * -1)
Y = (5 + -4x + -1x2)

Solving
Y = 5 + -4x + -1x2

Solving for variable 'Y'.

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

Simplifying
Y = 5 + -4x + -1x2

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