y=(x-3)(x+4)(x-1)

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Solution for y=(x-3)(x+4)(x-1) equation:


Simplifying
y = (x + -3)(x + 4)(x + -1)

Reorder the terms:
y = (-3 + x)(x + 4)(x + -1)

Reorder the terms:
y = (-3 + x)(4 + x)(x + -1)

Reorder the terms:
y = (-3 + x)(4 + x)(-1 + x)

Multiply (-3 + x) * (4 + x)
y = (-3(4 + x) + x(4 + x))(-1 + x)
y = ((4 * -3 + x * -3) + x(4 + x))(-1 + x)
y = ((-12 + -3x) + x(4 + x))(-1 + x)
y = (-12 + -3x + (4 * x + x * x))(-1 + x)
y = (-12 + -3x + (4x + x2))(-1 + x)

Combine like terms: -3x + 4x = 1x
y = (-12 + 1x + x2)(-1 + x)

Multiply (-12 + 1x + x2) * (-1 + x)
y = (-12(-1 + x) + 1x * (-1 + x) + x2(-1 + x))
y = ((-1 * -12 + x * -12) + 1x * (-1 + x) + x2(-1 + x))
y = ((12 + -12x) + 1x * (-1 + x) + x2(-1 + x))
y = (12 + -12x + (-1 * 1x + x * 1x) + x2(-1 + x))
y = (12 + -12x + (-1x + 1x2) + x2(-1 + x))
y = (12 + -12x + -1x + 1x2 + (-1 * x2 + x * x2))
y = (12 + -12x + -1x + 1x2 + (-1x2 + x3))

Combine like terms: -12x + -1x = -13x
y = (12 + -13x + 1x2 + -1x2 + x3)

Combine like terms: 1x2 + -1x2 = 0
y = (12 + -13x + 0 + x3)
y = (12 + -13x + x3)

Solving
y = 12 + -13x + x3

Solving for variable 'y'.

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

Simplifying
y = 12 + -13x + x3

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