2a^2-16am+32m^2=0

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Solution for 2a^2-16am+32m^2=0 equation: 


Simplifying
2a2 + -16am + 32m2 = 0

Reorder the terms:
-16am + 2a2 + 32m2 = 0

Solving
-16am + 2a2 + 32m2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8am + a2 + 16m2) = 0

Factor a trinomial.
2((a + -4m)(a + -4m)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(a + -4m)' equal to zero and attempt to solve:

Simplifying
a + -4m = 0

Solving
a + -4m = 0

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

Add '4m' to each side of the equation.
a + -4m + 4m = 0 + 4m

Combine like terms: -4m + 4m = 0
a + 0 = 0 + 4m
a = 0 + 4m
Remove the zero:
a = 4m

Simplifying
a = 4m

Subproblem 2
Set the factor '(a + -4m)' equal to zero and attempt to solve:

Simplifying
a + -4m = 0

Solving
a + -4m = 0

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

Add '4m' to each side of the equation.
a + -4m + 4m = 0 + 4m

Combine like terms: -4m + 4m = 0
a + 0 = 0 + 4m
a = 0 + 4m
Remove the zero:
a = 4m

Simplifying
a = 4m
Solution
a = {4m, 4m}

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