32x^3-2v^4x^3=

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Solution for 32x^3-2v^4x^3= equation:


Simplifying
32x3 + -2v4x3 = 0

Reorder the terms:
-2v4x3 + 32x3 = 0

Solving
-2v4x3 + 32x3 = 0

Solving for variable 'v'.

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

Add '-32x3' to each side of the equation.
-2v4x3 + 32x3 + -32x3 = 0 + -32x3

Combine like terms: 32x3 + -32x3 = 0
-2v4x3 + 0 = 0 + -32x3
-2v4x3 = 0 + -32x3
Remove the zero:
-2v4x3 = -32x3

Divide each side by '-2x3'.
v4 = 16

Simplifying
v4 = 16

Reorder the terms:
-16 + v4 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + v4 = 0

Factor a difference between two squares.
(4 + v2)(-4 + v2) = 0

Factor a difference between two squares.
(4 + v2)((2 + v)(-2 + v)) = 0

Subproblem 1

Set the factor '(4 + v2)' equal to zero and attempt to solve: Simplifying 4 + v2 = 0 Solving 4 + v2 = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + v2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v2 = 0 + -4 v2 = 0 + -4 Combine like terms: 0 + -4 = -4 v2 = -4 Simplifying v2 = -4 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 '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2

Subproblem 3

Set the factor '(-2 + v)' equal to zero and attempt to solve: Simplifying -2 + v = 0 Solving -2 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + v = 0 + 2 v = 0 + 2 Combine like terms: 0 + 2 = 2 v = 2 Simplifying v = 2

Solution

v = {-2, 2}

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