a^2+24am^2x^2+144m^4x^4=0

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Solution for a^2+24am^2x^2+144m^4x^4=0 equation: 


Simplifying
a2 + 24am2x2 + 144m4x4 = 0

Reorder the terms:
24am2x2 + a2 + 144m4x4 = 0

Solving
24am2x2 + a2 + 144m4x4 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + 12m2x2)(a + 12m2x2) = 0


Subproblem 1
Set the factor '(a + 12m2x2)' equal to zero and attempt to solve:

Simplifying
a + 12m2x2 = 0

Solving
a + 12m2x2 = 0

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

Add '-12m2x2' to each side of the equation.
a + 12m2x2 + -12m2x2 = 0 + -12m2x2

Combine like terms: 12m2x2 + -12m2x2 = 0
a + 0 = 0 + -12m2x2
a = 0 + -12m2x2
Remove the zero:
a = -12m2x2

Simplifying
a = -12m2x2

Subproblem 2
Set the factor '(a + 12m2x2)' equal to zero and attempt to solve:

Simplifying
a + 12m2x2 = 0

Solving
a + 12m2x2 = 0

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

Add '-12m2x2' to each side of the equation.
a + 12m2x2 + -12m2x2 = 0 + -12m2x2

Combine like terms: 12m2x2 + -12m2x2 = 0
a + 0 = 0 + -12m2x2
a = 0 + -12m2x2
Remove the zero:
a = -12m2x2

Simplifying
a = -12m2x2
Solution
a = {-12m2x2, -12m2x2}

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