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

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


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

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

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

Multiply (2 + 3x) * (-3 + 2x)
y = (2(-3 + 2x) + 3x * (-3 + 2x))
y = ((-3 * 2 + 2x * 2) + 3x * (-3 + 2x))
y = ((-6 + 4x) + 3x * (-3 + 2x))
y = (-6 + 4x + (-3 * 3x + 2x * 3x))
y = (-6 + 4x + (-9x + 6x2))

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

Solving
y = -6 + -5x + 6x2

Solving for variable 'y'.

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

Simplifying
y = -6 + -5x + 6x2

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