v=w(4w+3)(w-2)

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Solution for v=w(4w+3)(w-2) equation:


Simplifying
v = w(4w + 3)(w + -2)

Reorder the terms:
v = w(3 + 4w)(w + -2)

Reorder the terms:
v = w(3 + 4w)(-2 + w)

Multiply (3 + 4w) * (-2 + w)
v = w(3(-2 + w) + 4w * (-2 + w))
v = w((-2 * 3 + w * 3) + 4w * (-2 + w))
v = w((-6 + 3w) + 4w * (-2 + w))
v = w(-6 + 3w + (-2 * 4w + w * 4w))
v = w(-6 + 3w + (-8w + 4w2))

Combine like terms: 3w + -8w = -5w
v = w(-6 + -5w + 4w2)
v = (-6 * w + -5w * w + 4w2 * w)
v = (-6w + -5w2 + 4w3)

Solving
v = -6w + -5w2 + 4w3

Solving for variable 'v'.

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

Simplifying
v = -6w + -5w2 + 4w3

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