-12u^2v^2-50uv^2-42v^4=

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Solution for -12u^2v^2-50uv^2-42v^4= equation: 


Simplifying
-12u2v2 + -50uv2 + -42v4 = 0

Reorder the terms:
-50uv2 + -12u2v2 + -42v4 = 0

Solving
-50uv2 + -12u2v2 + -42v4 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '-2v2'.
-2v2(25u + 6u2 + 21v2) = 0

Factor a trinomial.
-2v2((6u + 7v)(u + 3v)) = 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 u 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 '(6u + 7v)' equal to zero and attempt to solve:

Simplifying
6u + 7v = 0

Solving
6u + 7v = 0

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

Add '-7v' to each side of the equation.
6u + 7v + -7v = 0 + -7v

Combine like terms: 7v + -7v = 0
6u + 0 = 0 + -7v
6u = 0 + -7v
Remove the zero:
6u = -7v

Divide each side by '6'.
u = -1.166666667v

Simplifying
u = -1.166666667v

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

Simplifying
u + 3v = 0

Solving
u + 3v = 0

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

Add '-3v' to each side of the equation.
u + 3v + -3v = 0 + -3v

Combine like terms: 3v + -3v = 0
u + 0 = 0 + -3v
u = 0 + -3v
Remove the zero:
u = -3v

Simplifying
u = -3v
Solution
u = {-1.166666667v, -3v}

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