(9a-nu^2)(a+nu^2)=

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Solution for (9a-nu^2)(a+nu^2)= equation: 


Simplifying
(9a + -1nu2)(a + nu2) = 0

Multiply (9a + -1nu2) * (a + nu2)
(9a * (a + nu2) + -1nu2 * (a + nu2)) = 0
((a * 9a + nu2 * 9a) + -1nu2 * (a + nu2)) = 0

Reorder the terms:
((9anu2 + 9a2) + -1nu2 * (a + nu2)) = 0
((9anu2 + 9a2) + -1nu2 * (a + nu2)) = 0
(9anu2 + 9a2 + (a * -1nu2 + nu2 * -1nu2)) = 0
(9anu2 + 9a2 + (-1anu2 + -1n2u4)) = 0

Reorder the terms:
(9anu2 + -1anu2 + 9a2 + -1n2u4) = 0

Combine like terms: 9anu2 + -1anu2 = 8anu2
(8anu2 + 9a2 + -1n2u4) = 0

Solving
8anu2 + 9a2 + -1n2u4 = 0

Solving for variable 'a'.

Factor a trinomial.
(9a + -1nu2)(a + nu2) = 0


Subproblem 1
Set the factor '(9a + -1nu2)' equal to zero and attempt to solve:

Simplifying
9a + -1nu2 = 0

Solving
9a + -1nu2 = 0

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

Add 'nu2' to each side of the equation.
9a + -1nu2 + nu2 = 0 + nu2

Combine like terms: -1nu2 + nu2 = 0
9a + 0 = 0 + nu2
9a = 0 + nu2
Remove the zero:
9a = nu2

Divide each side by '9'.
a = 0.1111111111nu2

Simplifying
a = 0.1111111111nu2

Subproblem 2
Set the factor '(a + nu2)' equal to zero and attempt to solve:

Simplifying
a + nu2 = 0

Solving
a + nu2 = 0

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

Add '-1nu2' to each side of the equation.
a + nu2 + -1nu2 = 0 + -1nu2

Combine like terms: nu2 + -1nu2 = 0
a + 0 = 0 + -1nu2
a = 0 + -1nu2
Remove the zero:
a = -1nu2

Simplifying
a = -1nu2
Solution
a = {0.1111111111nu2, -1nu2}

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