V=36a(a+c)-24c(2a-3c)+2a(-2(3a+c))

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Solution for V=36a(a+c)-24c(2a-3c)+2a(-2(3a+c)) equation: 


Simplifying
V = 36a(a + c) + -24c(2a + -3c) + 2a(-2(3a + c))
V = (a * 36a + c * 36a) + -24c(2a + -3c) + 2a(-2(3a + c))

Reorder the terms:
V = (36ac + 36a2) + -24c(2a + -3c) + 2a(-2(3a + c))
V = (36ac + 36a2) + -24c(2a + -3c) + 2a(-2(3a + c))
V = 36ac + 36a2 + (2a * -24c + -3c * -24c) + 2a(-2(3a + c))
V = 36ac + 36a2 + (-48ac + 72c2) + 2a(-2(3a + c))
V = 36ac + 36a2 + -48ac + 72c2 + 2a((3a * -2 + c * -2))
V = 36ac + 36a2 + -48ac + 72c2 + 2a((-6a + -2c))
V = 36ac + 36a2 + -48ac + 72c2 + (-6a * 2a + -2c * 2a)

Reorder the terms:
V = 36ac + 36a2 + -48ac + 72c2 + (-4ac + -12a2)
V = 36ac + 36a2 + -48ac + 72c2 + (-4ac + -12a2)

Reorder the terms:
V = 36ac + -48ac + -4ac + 36a2 + -12a2 + 72c2

Combine like terms: 36ac + -48ac = -12ac
V = -12ac + -4ac + 36a2 + -12a2 + 72c2

Combine like terms: -12ac + -4ac = -16ac
V = -16ac + 36a2 + -12a2 + 72c2

Combine like terms: 36a2 + -12a2 = 24a2
V = -16ac + 24a2 + 72c2

Solving
V = -16ac + 24a2 + 72c2

Solving for variable 'V'.

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

Simplifying
V = -16ac + 24a2 + 72c2

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