y=a(x+2)(x+1)(x-1)

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Solution for y=a(x+2)(x+1)(x-1) equation: 


Simplifying
y = a(x + 2)(x + 1)(x + -1)

Reorder the terms:
y = a(2 + x)(x + 1)(x + -1)

Reorder the terms:
y = a(2 + x)(1 + x)(x + -1)

Reorder the terms:
y = a(2 + x)(1 + x)(-1 + x)

Multiply (2 + x) * (1 + x)
y = a(2(1 + x) + x(1 + x))(-1 + x)
y = a((1 * 2 + x * 2) + x(1 + x))(-1 + x)
y = a((2 + 2x) + x(1 + x))(-1 + x)
y = a(2 + 2x + (1 * x + x * x))(-1 + x)
y = a(2 + 2x + (1x + x2))(-1 + x)

Combine like terms: 2x + 1x = 3x
y = a(2 + 3x + x2)(-1 + x)

Multiply (2 + 3x + x2) * (-1 + x)
y = a(2(-1 + x) + 3x * (-1 + x) + x2(-1 + x))
y = a((-1 * 2 + x * 2) + 3x * (-1 + x) + x2(-1 + x))
y = a((-2 + 2x) + 3x * (-1 + x) + x2(-1 + x))
y = a(-2 + 2x + (-1 * 3x + x * 3x) + x2(-1 + x))
y = a(-2 + 2x + (-3x + 3x2) + x2(-1 + x))
y = a(-2 + 2x + -3x + 3x2 + (-1 * x2 + x * x2))
y = a(-2 + 2x + -3x + 3x2 + (-1x2 + x3))

Combine like terms: 2x + -3x = -1x
y = a(-2 + -1x + 3x2 + -1x2 + x3)

Combine like terms: 3x2 + -1x2 = 2x2
y = a(-2 + -1x + 2x2 + x3)
y = (-2 * a + -1x * a + 2x2 * a + x3 * a)
y = (-2a + -1ax + 2ax2 + ax3)

Solving
y = -2a + -1ax + 2ax2 + ax3

Solving for variable 'y'.

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

Simplifying
y = -2a + -1ax + 2ax2 + ax3

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