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

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


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

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

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

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

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

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

Multiply (3 + 5x + 2x2) * (-5 + 3x)
y = (3(-5 + 3x) + 5x * (-5 + 3x) + 2x2 * (-5 + 3x))
y = ((-5 * 3 + 3x * 3) + 5x * (-5 + 3x) + 2x2 * (-5 + 3x))
y = ((-15 + 9x) + 5x * (-5 + 3x) + 2x2 * (-5 + 3x))
y = (-15 + 9x + (-5 * 5x + 3x * 5x) + 2x2 * (-5 + 3x))
y = (-15 + 9x + (-25x + 15x2) + 2x2 * (-5 + 3x))
y = (-15 + 9x + -25x + 15x2 + (-5 * 2x2 + 3x * 2x2))
y = (-15 + 9x + -25x + 15x2 + (-10x2 + 6x3))

Combine like terms: 9x + -25x = -16x
y = (-15 + -16x + 15x2 + -10x2 + 6x3)

Combine like terms: 15x2 + -10x2 = 5x2
y = (-15 + -16x + 5x2 + 6x3)

Solving
y = -15 + -16x + 5x2 + 6x3

Solving for variable 'y'.

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

Simplifying
y = -15 + -16x + 5x2 + 6x3

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