(v-7su^2)(v+su^2)=0

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Solution for (v-7su^2)(v+su^2)=0 equation: 


Simplifying
(v + -7su2)(v + su2) = 0

Reorder the terms:
(-7su2 + v)(v + su2) = 0

Reorder the terms:
(-7su2 + v)(su2 + v) = 0

Multiply (-7su2 + v) * (su2 + v)
(-7su2 * (su2 + v) + v(su2 + v)) = 0
((su2 * -7su2 + v * -7su2) + v(su2 + v)) = 0

Reorder the terms:
((-7su2v + -7s2u4) + v(su2 + v)) = 0
((-7su2v + -7s2u4) + v(su2 + v)) = 0
(-7su2v + -7s2u4 + (su2 * v + v * v)) = 0
(-7su2v + -7s2u4 + (su2v + v2)) = 0

Reorder the terms:
(-7su2v + su2v + -7s2u4 + v2) = 0

Combine like terms: -7su2v + su2v = -6su2v
(-6su2v + -7s2u4 + v2) = 0

Solving
-6su2v + -7s2u4 + v2 = 0

Solving for variable 's'.

Factor a trinomial.
(-1su2 + -1v)(7su2 + -1v) = 0


Subproblem 1
Set the factor '(-1su2 + -1v)' equal to zero and attempt to solve:

Simplifying
-1su2 + -1v = 0

Solving
-1su2 + -1v = 0

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

Add 'v' to each side of the equation.
-1su2 + -1v + v = 0 + v

Combine like terms: -1v + v = 0
-1su2 + 0 = 0 + v
-1su2 = 0 + v
Remove the zero:
-1su2 = v

Divide each side by '-1u2'.
s = -1u-2v

Simplifying
s = -1u-2v

Subproblem 2
Set the factor '(7su2 + -1v)' equal to zero and attempt to solve:

Simplifying
7su2 + -1v = 0

Solving
7su2 + -1v = 0

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

Add 'v' to each side of the equation.
7su2 + -1v + v = 0 + v

Combine like terms: -1v + v = 0
7su2 + 0 = 0 + v
7su2 = 0 + v
Remove the zero:
7su2 = v

Divide each side by '7u2'.
s = 0.1428571429u-2v

Simplifying
s = 0.1428571429u-2v
Solution
s = {-1u-2v, 0.1428571429u-2v}

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