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

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


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

Reorder the terms:
y = (-1 + x + 5x2)(x2 + 1)(-2x + 3)

Reorder the terms:
y = (-1 + x + 5x2)(1 + x2)(-2x + 3)

Reorder the terms:
y = (-1 + x + 5x2)(1 + x2)(3 + -2x)

Multiply (-1 + x + 5x2) * (1 + x2)
y = (-1(1 + x2) + x(1 + x2) + 5x2 * (1 + x2))(3 + -2x)
y = ((1 * -1 + x2 * -1) + x(1 + x2) + 5x2 * (1 + x2))(3 + -2x)
y = ((-1 + -1x2) + x(1 + x2) + 5x2 * (1 + x2))(3 + -2x)
y = (-1 + -1x2 + (1 * x + x2 * x) + 5x2 * (1 + x2))(3 + -2x)
y = (-1 + -1x2 + (1x + x3) + 5x2 * (1 + x2))(3 + -2x)
y = (-1 + -1x2 + 1x + x3 + (1 * 5x2 + x2 * 5x2))(3 + -2x)
y = (-1 + -1x2 + 1x + x3 + (5x2 + 5x4))(3 + -2x)

Reorder the terms:
y = (-1 + 1x + -1x2 + 5x2 + x3 + 5x4)(3 + -2x)

Combine like terms: -1x2 + 5x2 = 4x2
y = (-1 + 1x + 4x2 + x3 + 5x4)(3 + -2x)

Multiply (-1 + 1x + 4x2 + x3 + 5x4) * (3 + -2x)
y = (-1(3 + -2x) + 1x * (3 + -2x) + 4x2 * (3 + -2x) + x3(3 + -2x) + 5x4 * (3 + -2x))
y = ((3 * -1 + -2x * -1) + 1x * (3 + -2x) + 4x2 * (3 + -2x) + x3(3 + -2x) + 5x4 * (3 + -2x))
y = ((-3 + 2x) + 1x * (3 + -2x) + 4x2 * (3 + -2x) + x3(3 + -2x) + 5x4 * (3 + -2x))
y = (-3 + 2x + (3 * 1x + -2x * 1x) + 4x2 * (3 + -2x) + x3(3 + -2x) + 5x4 * (3 + -2x))
y = (-3 + 2x + (3x + -2x2) + 4x2 * (3 + -2x) + x3(3 + -2x) + 5x4 * (3 + -2x))
y = (-3 + 2x + 3x + -2x2 + (3 * 4x2 + -2x * 4x2) + x3(3 + -2x) + 5x4 * (3 + -2x))
y = (-3 + 2x + 3x + -2x2 + (12x2 + -8x3) + x3(3 + -2x) + 5x4 * (3 + -2x))
y = (-3 + 2x + 3x + -2x2 + 12x2 + -8x3 + (3 * x3 + -2x * x3) + 5x4 * (3 + -2x))
y = (-3 + 2x + 3x + -2x2 + 12x2 + -8x3 + (3x3 + -2x4) + 5x4 * (3 + -2x))
y = (-3 + 2x + 3x + -2x2 + 12x2 + -8x3 + 3x3 + -2x4 + (3 * 5x4 + -2x * 5x4))
y = (-3 + 2x + 3x + -2x2 + 12x2 + -8x3 + 3x3 + -2x4 + (15x4 + -10x5))

Combine like terms: 2x + 3x = 5x
y = (-3 + 5x + -2x2 + 12x2 + -8x3 + 3x3 + -2x4 + 15x4 + -10x5)

Combine like terms: -2x2 + 12x2 = 10x2
y = (-3 + 5x + 10x2 + -8x3 + 3x3 + -2x4 + 15x4 + -10x5)

Combine like terms: -8x3 + 3x3 = -5x3
y = (-3 + 5x + 10x2 + -5x3 + -2x4 + 15x4 + -10x5)

Combine like terms: -2x4 + 15x4 = 13x4
y = (-3 + 5x + 10x2 + -5x3 + 13x4 + -10x5)

Solving
y = -3 + 5x + 10x2 + -5x3 + 13x4 + -10x5

Solving for variable 'y'.

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

Simplifying
y = -3 + 5x + 10x2 + -5x3 + 13x4 + -10x5

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