(5m-4n)(5m-4n)=

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Solution for (5m-4n)(5m-4n)= equation:


Simplifying
(5m + -4n)(5m + -4n) = 0

Multiply (5m + -4n) * (5m + -4n)
(5m * (5m + -4n) + -4n * (5m + -4n)) = 0
((5m * 5m + -4n * 5m) + -4n * (5m + -4n)) = 0

Reorder the terms:
((-20mn + 25m2) + -4n * (5m + -4n)) = 0
((-20mn + 25m2) + -4n * (5m + -4n)) = 0
(-20mn + 25m2 + (5m * -4n + -4n * -4n)) = 0
(-20mn + 25m2 + (-20mn + 16n2)) = 0

Reorder the terms:
(-20mn + -20mn + 25m2 + 16n2) = 0

Combine like terms: -20mn + -20mn = -40mn
(-40mn + 25m2 + 16n2) = 0

Solving
-40mn + 25m2 + 16n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(5m + -4n)(5m + -4n) = 0

Subproblem 1

Set the factor '(5m + -4n)' equal to zero and attempt to solve: Simplifying 5m + -4n = 0 Solving 5m + -4n = 0 Move all terms containing m to the left, all other terms to the right. Add '4n' to each side of the equation. 5m + -4n + 4n = 0 + 4n Combine like terms: -4n + 4n = 0 5m + 0 = 0 + 4n 5m = 0 + 4n Remove the zero: 5m = 4n Divide each side by '5'. m = 0.8n Simplifying m = 0.8n

Subproblem 2

Set the factor '(5m + -4n)' equal to zero and attempt to solve: Simplifying 5m + -4n = 0 Solving 5m + -4n = 0 Move all terms containing m to the left, all other terms to the right. Add '4n' to each side of the equation. 5m + -4n + 4n = 0 + 4n Combine like terms: -4n + 4n = 0 5m + 0 = 0 + 4n 5m = 0 + 4n Remove the zero: 5m = 4n Divide each side by '5'. m = 0.8n Simplifying m = 0.8n

Solution

m = {0.8n, 0.8n}

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