y=(2x+1)(x-3)(5-x)

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Solution for y=(2x+1)(x-3)(5-x) equation:


Simplifying
y = (2x + 1)(x + -3)(5 + -1x)

Reorder the terms:
y = (1 + 2x)(x + -3)(5 + -1x)

Reorder the terms:
y = (1 + 2x)(-3 + x)(5 + -1x)

Multiply (1 + 2x) * (-3 + x)
y = (1(-3 + x) + 2x * (-3 + x))(5 + -1x)
y = ((-3 * 1 + x * 1) + 2x * (-3 + x))(5 + -1x)
y = ((-3 + 1x) + 2x * (-3 + x))(5 + -1x)
y = (-3 + 1x + (-3 * 2x + x * 2x))(5 + -1x)
y = (-3 + 1x + (-6x + 2x2))(5 + -1x)

Combine like terms: 1x + -6x = -5x
y = (-3 + -5x + 2x2)(5 + -1x)

Multiply (-3 + -5x + 2x2) * (5 + -1x)
y = (-3(5 + -1x) + -5x * (5 + -1x) + 2x2 * (5 + -1x))
y = ((5 * -3 + -1x * -3) + -5x * (5 + -1x) + 2x2 * (5 + -1x))
y = ((-15 + 3x) + -5x * (5 + -1x) + 2x2 * (5 + -1x))
y = (-15 + 3x + (5 * -5x + -1x * -5x) + 2x2 * (5 + -1x))
y = (-15 + 3x + (-25x + 5x2) + 2x2 * (5 + -1x))
y = (-15 + 3x + -25x + 5x2 + (5 * 2x2 + -1x * 2x2))
y = (-15 + 3x + -25x + 5x2 + (10x2 + -2x3))

Combine like terms: 3x + -25x = -22x
y = (-15 + -22x + 5x2 + 10x2 + -2x3)

Combine like terms: 5x2 + 10x2 = 15x2
y = (-15 + -22x + 15x2 + -2x3)

Solving
y = -15 + -22x + 15x2 + -2x3

Solving for variable 'y'.

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

Simplifying
y = -15 + -22x + 15x2 + -2x3

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