(9a-uv^2)(a+uv^2)=0

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Solution for (9a-uv^2)(a+uv^2)=0 equation: 


Simplifying
(9a + -1uv2)(a + uv2) = 0

Multiply (9a + -1uv2) * (a + uv2)
(9a * (a + uv2) + -1uv2 * (a + uv2)) = 0
((a * 9a + uv2 * 9a) + -1uv2 * (a + uv2)) = 0

Reorder the terms:
((9auv2 + 9a2) + -1uv2 * (a + uv2)) = 0
((9auv2 + 9a2) + -1uv2 * (a + uv2)) = 0
(9auv2 + 9a2 + (a * -1uv2 + uv2 * -1uv2)) = 0
(9auv2 + 9a2 + (-1auv2 + -1u2v4)) = 0

Reorder the terms:
(9auv2 + -1auv2 + 9a2 + -1u2v4) = 0

Combine like terms: 9auv2 + -1auv2 = 8auv2
(8auv2 + 9a2 + -1u2v4) = 0

Solving
8auv2 + 9a2 + -1u2v4 = 0

Solving for variable 'a'.

Factor a trinomial.
(9a + -1uv2)(a + uv2) = 0


Subproblem 1
Set the factor '(9a + -1uv2)' equal to zero and attempt to solve:

Simplifying
9a + -1uv2 = 0

Solving
9a + -1uv2 = 0

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

Add 'uv2' to each side of the equation.
9a + -1uv2 + uv2 = 0 + uv2

Combine like terms: -1uv2 + uv2 = 0
9a + 0 = 0 + uv2
9a = 0 + uv2
Remove the zero:
9a = uv2

Divide each side by '9'.
a = 0.1111111111uv2

Simplifying
a = 0.1111111111uv2

Subproblem 2
Set the factor '(a + uv2)' equal to zero and attempt to solve:

Simplifying
a + uv2 = 0

Solving
a + uv2 = 0

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

Add '-1uv2' to each side of the equation.
a + uv2 + -1uv2 = 0 + -1uv2

Combine like terms: uv2 + -1uv2 = 0
a + 0 = 0 + -1uv2
a = 0 + -1uv2
Remove the zero:
a = -1uv2

Simplifying
a = -1uv2
Solution
a = {0.1111111111uv2, -1uv2}

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