(2a-5m)(2a-5m)=

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Solution for (2a-5m)(2a-5m)= equation: 


Simplifying
(2a + -5m)(2a + -5m) = 0

Multiply (2a + -5m) * (2a + -5m)
(2a * (2a + -5m) + -5m * (2a + -5m)) = 0
((2a * 2a + -5m * 2a) + -5m * (2a + -5m)) = 0

Reorder the terms:
((-10am + 4a2) + -5m * (2a + -5m)) = 0
((-10am + 4a2) + -5m * (2a + -5m)) = 0
(-10am + 4a2 + (2a * -5m + -5m * -5m)) = 0
(-10am + 4a2 + (-10am + 25m2)) = 0

Reorder the terms:
(-10am + -10am + 4a2 + 25m2) = 0

Combine like terms: -10am + -10am = -20am
(-20am + 4a2 + 25m2) = 0

Solving
-20am + 4a2 + 25m2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2a + -5m)(2a + -5m) = 0


Subproblem 1
Set the factor '(2a + -5m)' equal to zero and attempt to solve:

Simplifying
2a + -5m = 0

Solving
2a + -5m = 0

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

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

Combine like terms: -5m + 5m = 0
2a + 0 = 0 + 5m
2a = 0 + 5m
Remove the zero:
2a = 5m

Divide each side by '2'.
a = 2.5m

Simplifying
a = 2.5m

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

Simplifying
2a + -5m = 0

Solving
2a + -5m = 0

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

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

Combine like terms: -5m + 5m = 0
2a + 0 = 0 + 5m
2a = 0 + 5m
Remove the zero:
2a = 5m

Divide each side by '2'.
a = 2.5m

Simplifying
a = 2.5m
Solution
a = {2.5m, 2.5m}

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