v=lwh(2x)(x+3)(x+12)

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Solution for v=lwh(2x)(x+3)(x+12) equation:


Simplifying
v = lwh(2x)(x + 3)(x + 12)

Remove parenthesis around (2x)
v = hlw * 2x(x + 3)(x + 12)

Reorder the terms:
v = hlw * 2x(3 + x)(x + 12)

Reorder the terms:
v = hlw * 2x(3 + x)(12 + x)

Reorder the terms for easier multiplication:
v = 2hlw * x(3 + x)(12 + x)

Multiply hlw * x
v = 2hlwx(3 + x)(12 + x)

Multiply (3 + x) * (12 + x)
v = 2hlwx(3(12 + x) + x(12 + x))
v = 2hlwx((12 * 3 + x * 3) + x(12 + x))
v = 2hlwx((36 + 3x) + x(12 + x))
v = 2hlwx(36 + 3x + (12 * x + x * x))
v = 2hlwx(36 + 3x + (12x + x2))

Combine like terms: 3x + 12x = 15x
v = 2hlwx(36 + 15x + x2)
v = (36 * 2hlwx + 15x * 2hlwx + x2 * 2hlwx)
v = (72hlwx + 30hlwx2 + 2hlwx3)

Solving
v = 72hlwx + 30hlwx2 + 2hlwx3

Solving for variable 'v'.

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

Simplifying
v = 72hlwx + 30hlwx2 + 2hlwx3

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