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

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


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

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

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

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

Multiply (-1 + 2x) * (2 + x)
y = (-1(2 + x) + 2x * (2 + x))(-3 + x)
y = ((2 * -1 + x * -1) + 2x * (2 + x))(-3 + x)
y = ((-2 + -1x) + 2x * (2 + x))(-3 + x)
y = (-2 + -1x + (2 * 2x + x * 2x))(-3 + x)
y = (-2 + -1x + (4x + 2x2))(-3 + x)

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

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

Combine like terms: -2x + -9x = -11x
y = (6 + -11x + 3x2 + -6x2 + 2x3)

Combine like terms: 3x2 + -6x2 = -3x2
y = (6 + -11x + -3x2 + 2x3)

Solving
y = 6 + -11x + -3x2 + 2x3

Solving for variable 'y'.

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

Simplifying
y = 6 + -11x + -3x2 + 2x3

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