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

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


Simplifying
(v2 + -6)(v2 + 4) = 0

Reorder the terms:
(-6 + v2)(v2 + 4) = 0

Reorder the terms:
(-6 + v2)(4 + v2) = 0

Multiply (-6 + v2) * (4 + v2)
(-6(4 + v2) + v2(4 + v2)) = 0
((4 * -6 + v2 * -6) + v2(4 + v2)) = 0
((-24 + -6v2) + v2(4 + v2)) = 0
(-24 + -6v2 + (4 * v2 + v2 * v2)) = 0
(-24 + -6v2 + (4v2 + v4)) = 0

Combine like terms: -6v2 + 4v2 = -2v2
(-24 + -2v2 + v4) = 0

Solving
-24 + -2v2 + v4 = 0

Solving for variable 'v'.

Factor a trinomial.
(-4 + -1v2)(6 + -1v2) = 0


Subproblem 1
Set the factor '(-4 + -1v2)' equal to zero and attempt to solve:

Simplifying
-4 + -1v2 = 0

Solving
-4 + -1v2 = 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 + -1v2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1v2 = 0 + 4
-1v2 = 0 + 4

Combine like terms: 0 + 4 = 4
-1v2 = 4

Divide each side by '-1'.
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 '(6 + -1v2)' equal to zero and attempt to solve:

Simplifying
6 + -1v2 = 0

Solving
6 + -1v2 = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1v2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1v2 = 0 + -6
-1v2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1v2 = -6

Divide each side by '-1'.
v2 = 6

Simplifying
v2 = 6

Take the square root of each side:
v = {-2.449489743, 2.449489743}
Solution
v = {-2.449489743, 2.449489743}

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