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

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


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

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

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

Multiply (1 + 2x) * (-2 + 3x)
y = (1(-2 + 3x) + 2x * (-2 + 3x))
y = ((-2 * 1 + 3x * 1) + 2x * (-2 + 3x))
y = ((-2 + 3x) + 2x * (-2 + 3x))
y = (-2 + 3x + (-2 * 2x + 3x * 2x))
y = (-2 + 3x + (-4x + 6x2))

Combine like terms: 3x + -4x = -1x
y = (-2 + -1x + 6x2)

Solving
y = -2 + -1x + 6x2

Solving for variable 'y'.

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

Simplifying
y = -2 + -1x + 6x2

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