v=(a-2*x)*(a-2*x)*x

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Solution for v=(a-2*x)*(a-2*x)*x equation:


Simplifying
v = (a + -2x)(a + -2x) * x

Reorder the terms for easier multiplication:
v = x(a + -2x)(a + -2x)

Multiply (a + -2x) * (a + -2x)
v = x(a(a + -2x) + -2x * (a + -2x))
v = x((a * a + -2x * a) + -2x * (a + -2x))

Reorder the terms:
v = x((-2ax + a2) + -2x * (a + -2x))
v = x((-2ax + a2) + -2x * (a + -2x))
v = x(-2ax + a2 + (a * -2x + -2x * -2x))
v = x(-2ax + a2 + (-2ax + 4x2))

Reorder the terms:
v = x(-2ax + -2ax + a2 + 4x2)

Combine like terms: -2ax + -2ax = -4ax
v = x(-4ax + a2 + 4x2)
v = (-4ax * x + a2 * x + 4x2 * x)
v = (-4ax2 + a2x + 4x3)

Solving
v = -4ax2 + a2x + 4x3

Solving for variable 'v'.

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

Simplifying
v = -4ax2 + a2x + 4x3

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