y=(x+2)(x+1)(3x-4)

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Solution for y=(x+2)(x+1)(3x-4) equation:


Simplifying
y = (x + 2)(x + 1)(3x + -4)

Reorder the terms:
y = (2 + x)(x + 1)(3x + -4)

Reorder the terms:
y = (2 + x)(1 + x)(3x + -4)

Reorder the terms:
y = (2 + x)(1 + x)(-4 + 3x)

Multiply (2 + x) * (1 + x)
y = (2(1 + x) + x(1 + x))(-4 + 3x)
y = ((1 * 2 + x * 2) + x(1 + x))(-4 + 3x)
y = ((2 + 2x) + x(1 + x))(-4 + 3x)
y = (2 + 2x + (1 * x + x * x))(-4 + 3x)
y = (2 + 2x + (1x + x2))(-4 + 3x)

Combine like terms: 2x + 1x = 3x
y = (2 + 3x + x2)(-4 + 3x)

Multiply (2 + 3x + x2) * (-4 + 3x)
y = (2(-4 + 3x) + 3x * (-4 + 3x) + x2(-4 + 3x))
y = ((-4 * 2 + 3x * 2) + 3x * (-4 + 3x) + x2(-4 + 3x))
y = ((-8 + 6x) + 3x * (-4 + 3x) + x2(-4 + 3x))
y = (-8 + 6x + (-4 * 3x + 3x * 3x) + x2(-4 + 3x))
y = (-8 + 6x + (-12x + 9x2) + x2(-4 + 3x))
y = (-8 + 6x + -12x + 9x2 + (-4 * x2 + 3x * x2))
y = (-8 + 6x + -12x + 9x2 + (-4x2 + 3x3))

Combine like terms: 6x + -12x = -6x
y = (-8 + -6x + 9x2 + -4x2 + 3x3)

Combine like terms: 9x2 + -4x2 = 5x2
y = (-8 + -6x + 5x2 + 3x3)

Solving
y = -8 + -6x + 5x2 + 3x3

Solving for variable 'y'.

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

Simplifying
y = -8 + -6x + 5x2 + 3x3

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