2v^2(8v^2+6vb-5b^2)=

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Solution for 2v^2(8v^2+6vb-5b^2)= equation: 


Simplifying
2v2(8v2 + 6vb + -5b2) = 0

Reorder the terms:
2v2(6bv + -5b2 + 8v2) = 0
(6bv * 2v2 + -5b2 * 2v2 + 8v2 * 2v2) = 0
(12bv3 + -10b2v2 + 16v4) = 0

Solving
12bv3 + -10b2v2 + 16v4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2v2'.
2v2(6bv + -5b2 + 8v2) = 0

Factor a trinomial.
2v2((-5b + -4v)(b + -2v)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'v2' equal to zero and attempt to solve:

Simplifying
v2 = 0

Solving
v2 = 0

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

Add '-1v2' to each side of the equation.
v2 + -1v2 = 0 + -1v2
Remove the zero:
0 = -1v2

Simplifying
0 = -1v2

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 '(-5b + -4v)' equal to zero and attempt to solve:

Simplifying
-5b + -4v = 0

Solving
-5b + -4v = 0

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

Add '4v' to each side of the equation.
-5b + -4v + 4v = 0 + 4v

Combine like terms: -4v + 4v = 0
-5b + 0 = 0 + 4v
-5b = 0 + 4v
Remove the zero:
-5b = 4v

Divide each side by '-5'.
b = -0.8v

Simplifying
b = -0.8v

Subproblem 3
Set the factor '(b + -2v)' equal to zero and attempt to solve:

Simplifying
b + -2v = 0

Solving
b + -2v = 0

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

Add '2v' to each side of the equation.
b + -2v + 2v = 0 + 2v

Combine like terms: -2v + 2v = 0
b + 0 = 0 + 2v
b = 0 + 2v
Remove the zero:
b = 2v

Simplifying
b = 2v
Solution
b = {-0.8v, 2v}

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