y=(x+2)(x-1)(x^2+6x+7)

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Solution for y=(x+2)(x-1)(x^2+6x+7) equation:


Simplifying
y = (x + 2)(x + -1)(x2 + 6x + 7)

Reorder the terms:
y = (2 + x)(x + -1)(x2 + 6x + 7)

Reorder the terms:
y = (2 + x)(-1 + x)(x2 + 6x + 7)

Reorder the terms:
y = (2 + x)(-1 + x)(7 + 6x + x2)

Multiply (2 + x) * (-1 + x)
y = (2(-1 + x) + x(-1 + x))(7 + 6x + x2)
y = ((-1 * 2 + x * 2) + x(-1 + x))(7 + 6x + x2)
y = ((-2 + 2x) + x(-1 + x))(7 + 6x + x2)
y = (-2 + 2x + (-1 * x + x * x))(7 + 6x + x2)
y = (-2 + 2x + (-1x + x2))(7 + 6x + x2)

Combine like terms: 2x + -1x = 1x
y = (-2 + 1x + x2)(7 + 6x + x2)

Multiply (-2 + 1x + x2) * (7 + 6x + x2)
y = (-2(7 + 6x + x2) + 1x * (7 + 6x + x2) + x2(7 + 6x + x2))
y = ((7 * -2 + 6x * -2 + x2 * -2) + 1x * (7 + 6x + x2) + x2(7 + 6x + x2))
y = ((-14 + -12x + -2x2) + 1x * (7 + 6x + x2) + x2(7 + 6x + x2))
y = (-14 + -12x + -2x2 + (7 * 1x + 6x * 1x + x2 * 1x) + x2(7 + 6x + x2))
y = (-14 + -12x + -2x2 + (7x + 6x2 + 1x3) + x2(7 + 6x + x2))
y = (-14 + -12x + -2x2 + 7x + 6x2 + 1x3 + (7 * x2 + 6x * x2 + x2 * x2))
y = (-14 + -12x + -2x2 + 7x + 6x2 + 1x3 + (7x2 + 6x3 + x4))

Reorder the terms:
y = (-14 + -12x + 7x + -2x2 + 6x2 + 7x2 + 1x3 + 6x3 + x4)

Combine like terms: -12x + 7x = -5x
y = (-14 + -5x + -2x2 + 6x2 + 7x2 + 1x3 + 6x3 + x4)

Combine like terms: -2x2 + 6x2 = 4x2
y = (-14 + -5x + 4x2 + 7x2 + 1x3 + 6x3 + x4)

Combine like terms: 4x2 + 7x2 = 11x2
y = (-14 + -5x + 11x2 + 1x3 + 6x3 + x4)

Combine like terms: 1x3 + 6x3 = 7x3
y = (-14 + -5x + 11x2 + 7x3 + x4)

Solving
y = -14 + -5x + 11x2 + 7x3 + x4

Solving for variable 'y'.

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

Simplifying
y = -14 + -5x + 11x2 + 7x3 + x4

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