Y=(x-4)(x+1)(3x-5)

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Solution for Y=(x-4)(x+1)(3x-5) equation: 


Simplifying
Y = (x + -4)(x + 1)(3x + -5)

Reorder the terms:
Y = (-4 + x)(x + 1)(3x + -5)

Reorder the terms:
Y = (-4 + x)(1 + x)(3x + -5)

Reorder the terms:
Y = (-4 + x)(1 + x)(-5 + 3x)

Multiply (-4 + x) * (1 + x)
Y = (-4(1 + x) + x(1 + x))(-5 + 3x)
Y = ((1 * -4 + x * -4) + x(1 + x))(-5 + 3x)
Y = ((-4 + -4x) + x(1 + x))(-5 + 3x)
Y = (-4 + -4x + (1 * x + x * x))(-5 + 3x)
Y = (-4 + -4x + (1x + x2))(-5 + 3x)

Combine like terms: -4x + 1x = -3x
Y = (-4 + -3x + x2)(-5 + 3x)

Multiply (-4 + -3x + x2) * (-5 + 3x)
Y = (-4(-5 + 3x) + -3x * (-5 + 3x) + x2(-5 + 3x))
Y = ((-5 * -4 + 3x * -4) + -3x * (-5 + 3x) + x2(-5 + 3x))
Y = ((20 + -12x) + -3x * (-5 + 3x) + x2(-5 + 3x))
Y = (20 + -12x + (-5 * -3x + 3x * -3x) + x2(-5 + 3x))
Y = (20 + -12x + (15x + -9x2) + x2(-5 + 3x))
Y = (20 + -12x + 15x + -9x2 + (-5 * x2 + 3x * x2))
Y = (20 + -12x + 15x + -9x2 + (-5x2 + 3x3))

Combine like terms: -12x + 15x = 3x
Y = (20 + 3x + -9x2 + -5x2 + 3x3)

Combine like terms: -9x2 + -5x2 = -14x2
Y = (20 + 3x + -14x2 + 3x3)

Solving
Y = 20 + 3x + -14x2 + 3x3

Solving for variable 'Y'.

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

Simplifying
Y = 20 + 3x + -14x2 + 3x3

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