(u-7nx^2)(u+nx^2)=

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Solution for (u-7nx^2)(u+nx^2)= equation: 


Simplifying
(u + -7nx2)(u + nx2) = 0

Reorder the terms:
(-7nx2 + u)(u + nx2) = 0

Reorder the terms:
(-7nx2 + u)(nx2 + u) = 0

Multiply (-7nx2 + u) * (nx2 + u)
(-7nx2 * (nx2 + u) + u(nx2 + u)) = 0
((nx2 * -7nx2 + u * -7nx2) + u(nx2 + u)) = 0

Reorder the terms:
((-7nux2 + -7n2x4) + u(nx2 + u)) = 0
((-7nux2 + -7n2x4) + u(nx2 + u)) = 0
(-7nux2 + -7n2x4 + (nx2 * u + u * u)) = 0
(-7nux2 + -7n2x4 + (nux2 + u2)) = 0

Reorder the terms:
(-7nux2 + nux2 + -7n2x4 + u2) = 0

Combine like terms: -7nux2 + nux2 = -6nux2
(-6nux2 + -7n2x4 + u2) = 0

Solving
-6nux2 + -7n2x4 + u2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-1nx2 + -1u)(7nx2 + -1u) = 0


Subproblem 1
Set the factor '(-1nx2 + -1u)' equal to zero and attempt to solve:

Simplifying
-1nx2 + -1u = 0

Solving
-1nx2 + -1u = 0

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

Add 'u' to each side of the equation.
-1nx2 + -1u + u = 0 + u

Combine like terms: -1u + u = 0
-1nx2 + 0 = 0 + u
-1nx2 = 0 + u
Remove the zero:
-1nx2 = u

Divide each side by '-1x2'.
n = -1ux-2

Simplifying
n = -1ux-2

Subproblem 2
Set the factor '(7nx2 + -1u)' equal to zero and attempt to solve:

Simplifying
7nx2 + -1u = 0

Solving
7nx2 + -1u = 0

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

Add 'u' to each side of the equation.
7nx2 + -1u + u = 0 + u

Combine like terms: -1u + u = 0
7nx2 + 0 = 0 + u
7nx2 = 0 + u
Remove the zero:
7nx2 = u

Divide each side by '7x2'.
n = 0.1428571429ux-2

Simplifying
n = 0.1428571429ux-2
Solution
n = {-1ux-2, 0.1428571429ux-2}

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