-4v^3(-6v^3+3v^2-4v)=

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Solution for -4v^3(-6v^3+3v^2-4v)= equation:


Simplifying
-4v3(-6v3 + 3v2 + -4v) = 0

Reorder the terms:
-4v3(-4v + 3v2 + -6v3) = 0
(-4v * -4v3 + 3v2 * -4v3 + -6v3 * -4v3) = 0
(16v4 + -12v5 + 24v6) = 0

Solving
16v4 + -12v5 + 24v6 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4v4'.
4v4(4 + -3v + 6v2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'v4' equal to zero and attempt to solve: Simplifying v4 = 0 Solving v4 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(4 + -3v + 6v2)' equal to zero and attempt to solve: Simplifying 4 + -3v + 6v2 = 0 Solving 4 + -3v + 6v2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.6666666667 + -0.5v + v2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + -0.5v + -0.6666666667 + v2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + -0.5v + v2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + -0.5v + v2 = 0 + -0.6666666667 -0.5v + v2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 -0.5v + v2 = -0.6666666667 The v term is -0.5v. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5v + 0.0625 + v2 = -0.6666666667 + 0.0625 Reorder the terms: 0.0625 + -0.5v + v2 = -0.6666666667 + 0.0625 Combine like terms: -0.6666666667 + 0.0625 = -0.6041666667 0.0625 + -0.5v + v2 = -0.6041666667 Factor a perfect square on the left side: (v + -0.25)(v + -0.25) = -0.6041666667 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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