V(x)=216x-66x^2+4x^3

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Solution for V(x)=216x-66x^2+4x^3 equation:


Simplifying
V(x) = 216x + -66x2 + 4x3

Multiply V * x
xV = 216x + -66x2 + 4x3

Solving
xV = 216x + -66x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-216x + xV + 66x2 + -4x3 = 216x + -66x2 + 4x3 + -216x + 66x2 + -4x3

Reorder the terms:
-216x + xV + 66x2 + -4x3 = 216x + -216x + -66x2 + 66x2 + 4x3 + -4x3

Combine like terms: 216x + -216x = 0
-216x + xV + 66x2 + -4x3 = 0 + -66x2 + 66x2 + 4x3 + -4x3
-216x + xV + 66x2 + -4x3 = -66x2 + 66x2 + 4x3 + -4x3

Combine like terms: -66x2 + 66x2 = 0
-216x + xV + 66x2 + -4x3 = 0 + 4x3 + -4x3
-216x + xV + 66x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-216x + xV + 66x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-216 + V + 66x + -4x2) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-216 + V + 66x + -4x2)' equal to zero and attempt to solve: Simplifying -216 + V + 66x + -4x2 = 0 Solving -216 + V + 66x + -4x2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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