25m^2a^2-4a^2=

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Solution for 25m^2a^2-4a^2= equation: 


Simplifying
25m2a2 + -4a2 = 0

Reorder the terms:
-4a2 + 25a2m2 = 0

Solving
-4a2 + 25a2m2 = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(-4 + 25m2) = 0

Factor a difference between two squares.
a2((2 + 5m)(-2 + 5m)) = 0


Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}

Subproblem 2
Set the factor '(2 + 5m)' equal to zero and attempt to solve:

Simplifying
2 + 5m = 0

Solving
2 + 5m = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5m = 0 + -2
5m = 0 + -2

Combine like terms: 0 + -2 = -2
5m = -2

Add '-5m' to each side of the equation.
5m + -5m = -2 + -5m

Combine like terms: 5m + -5m = 0
0 = -2 + -5m

Simplifying
0 = -2 + -5m

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(-2 + 5m)' equal to zero and attempt to solve:

Simplifying
-2 + 5m = 0

Solving
-2 + 5m = 0

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

Add '2' to each side of the equation.
-2 + 2 + 5m = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5m = 0 + 2
5m = 0 + 2

Combine like terms: 0 + 2 = 2
5m = 2

Add '-5m' to each side of the equation.
5m + -5m = 2 + -5m

Combine like terms: 5m + -5m = 0
0 = 2 + -5m

Simplifying
0 = 2 + -5m

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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