10u^2+99uv-10v^2=

Solution for 10u^2+99uv-10v^2= equation:

Simplifying
10u2 + 99uv + -10v2 = 0

Reorder the terms:
99uv + 10u2 + -10v2 = 0

Solving
99uv + 10u2 + -10v2 = 0

Solving for variable 'u'.

Factor a trinomial.
(10u + -1v)(u + 10v) = 0

Subproblem 1
Set the factor '(10u + -1v)' equal to zero and attempt to solve:

Simplifying
10u + -1v = 0

Solving
10u + -1v = 0

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

Add 'v' to each side of the equation.
10u + -1v + v = 0 + v

Combine like terms: -1v + v = 0
10u + 0 = 0 + v
10u = 0 + v
Remove the zero:
10u = v

Divide each side by '10'.
u = 0.1v

Simplifying
u = 0.1v
Subproblem 2
Set the factor '(u + 10v)' equal to zero and attempt to solve:

Simplifying
u + 10v = 0

Solving
u + 10v = 0

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

Add '-10v' to each side of the equation.
u + 10v + -10v = 0 + -10v

Combine like terms: 10v + -10v = 0
u + 0 = 0 + -10v
u = 0 + -10v
Remove the zero:
u = -10v

Simplifying
u = -10v
Solution
u = {0.1v, -10v}