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

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


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

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

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

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

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

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

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

Multiply (-5 + -3x + 2x2) * (-3 + x)
y = x(-5(-3 + x) + -3x * (-3 + x) + 2x2 * (-3 + x))(-3 + x)
y = x((-3 * -5 + x * -5) + -3x * (-3 + x) + 2x2 * (-3 + x))(-3 + x)
y = x((15 + -5x) + -3x * (-3 + x) + 2x2 * (-3 + x))(-3 + x)
y = x(15 + -5x + (-3 * -3x + x * -3x) + 2x2 * (-3 + x))(-3 + x)
y = x(15 + -5x + (9x + -3x2) + 2x2 * (-3 + x))(-3 + x)
y = x(15 + -5x + 9x + -3x2 + (-3 * 2x2 + x * 2x2))(-3 + x)
y = x(15 + -5x + 9x + -3x2 + (-6x2 + 2x3))(-3 + x)

Combine like terms: -5x + 9x = 4x
y = x(15 + 4x + -3x2 + -6x2 + 2x3)(-3 + x)

Combine like terms: -3x2 + -6x2 = -9x2
y = x(15 + 4x + -9x2 + 2x3)(-3 + x)

Multiply (15 + 4x + -9x2 + 2x3) * (-3 + x)
y = x(15(-3 + x) + 4x * (-3 + x) + -9x2 * (-3 + x) + 2x3 * (-3 + x))
y = x((-3 * 15 + x * 15) + 4x * (-3 + x) + -9x2 * (-3 + x) + 2x3 * (-3 + x))
y = x((-45 + 15x) + 4x * (-3 + x) + -9x2 * (-3 + x) + 2x3 * (-3 + x))
y = x(-45 + 15x + (-3 * 4x + x * 4x) + -9x2 * (-3 + x) + 2x3 * (-3 + x))
y = x(-45 + 15x + (-12x + 4x2) + -9x2 * (-3 + x) + 2x3 * (-3 + x))
y = x(-45 + 15x + -12x + 4x2 + (-3 * -9x2 + x * -9x2) + 2x3 * (-3 + x))
y = x(-45 + 15x + -12x + 4x2 + (27x2 + -9x3) + 2x3 * (-3 + x))
y = x(-45 + 15x + -12x + 4x2 + 27x2 + -9x3 + (-3 * 2x3 + x * 2x3))
y = x(-45 + 15x + -12x + 4x2 + 27x2 + -9x3 + (-6x3 + 2x4))

Combine like terms: 15x + -12x = 3x
y = x(-45 + 3x + 4x2 + 27x2 + -9x3 + -6x3 + 2x4)

Combine like terms: 4x2 + 27x2 = 31x2
y = x(-45 + 3x + 31x2 + -9x3 + -6x3 + 2x4)

Combine like terms: -9x3 + -6x3 = -15x3
y = x(-45 + 3x + 31x2 + -15x3 + 2x4)
y = (-45 * x + 3x * x + 31x2 * x + -15x3 * x + 2x4 * x)
y = (-45x + 3x2 + 31x3 + -15x4 + 2x5)

Solving
y = -45x + 3x2 + 31x3 + -15x4 + 2x5

Solving for variable 'y'.

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

Simplifying
y = -45x + 3x2 + 31x3 + -15x4 + 2x5

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