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

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


Simplifying
(m + -2a)(2m + -1a) = 0

Reorder the terms:
(-2a + m)(2m + -1a) = 0

Reorder the terms:
(-2a + m)(-1a + 2m) = 0

Multiply (-2a + m) * (-1a + 2m)
(-2a * (-1a + 2m) + m(-1a + 2m)) = 0
((-1a * -2a + 2m * -2a) + m(-1a + 2m)) = 0

Reorder the terms:
((-4am + 2a2) + m(-1a + 2m)) = 0
((-4am + 2a2) + m(-1a + 2m)) = 0
(-4am + 2a2 + (-1a * m + 2m * m)) = 0
(-4am + 2a2 + (-1am + 2m2)) = 0

Reorder the terms:
(-4am + -1am + 2a2 + 2m2) = 0

Combine like terms: -4am + -1am = -5am
(-5am + 2a2 + 2m2) = 0

Solving
-5am + 2a2 + 2m2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -2m)(2a + -1m) = 0


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

Simplifying
a + -2m = 0

Solving
a + -2m = 0

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

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

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

Simplifying
a = 2m

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

Simplifying
2a + -1m = 0

Solving
2a + -1m = 0

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

Add 'm' to each side of the equation.
2a + -1m + m = 0 + m

Combine like terms: -1m + m = 0
2a + 0 = 0 + m
2a = 0 + m
Remove the zero:
2a = m

Divide each side by '2'.
a = 0.5m

Simplifying
a = 0.5m
Solution
a = {2m, 0.5m}

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