(8m-5n)(8m-5n)=

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Solution for (8m-5n)(8m-5n)= equation:


Simplifying
(8m + -5n)(8m + -5n) = 0

Multiply (8m + -5n) * (8m + -5n)
(8m * (8m + -5n) + -5n * (8m + -5n)) = 0
((8m * 8m + -5n * 8m) + -5n * (8m + -5n)) = 0

Reorder the terms:
((-40mn + 64m2) + -5n * (8m + -5n)) = 0
((-40mn + 64m2) + -5n * (8m + -5n)) = 0
(-40mn + 64m2 + (8m * -5n + -5n * -5n)) = 0
(-40mn + 64m2 + (-40mn + 25n2)) = 0

Reorder the terms:
(-40mn + -40mn + 64m2 + 25n2) = 0

Combine like terms: -40mn + -40mn = -80mn
(-80mn + 64m2 + 25n2) = 0

Solving
-80mn + 64m2 + 25n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(8m + -5n)(8m + -5n) = 0

Subproblem 1

Set the factor '(8m + -5n)' equal to zero and attempt to solve: Simplifying 8m + -5n = 0 Solving 8m + -5n = 0 Move all terms containing m to the left, all other terms to the right. Add '5n' to each side of the equation. 8m + -5n + 5n = 0 + 5n Combine like terms: -5n + 5n = 0 8m + 0 = 0 + 5n 8m = 0 + 5n Remove the zero: 8m = 5n Divide each side by '8'. m = 0.625n Simplifying m = 0.625n

Subproblem 2

Set the factor '(8m + -5n)' equal to zero and attempt to solve: Simplifying 8m + -5n = 0 Solving 8m + -5n = 0 Move all terms containing m to the left, all other terms to the right. Add '5n' to each side of the equation. 8m + -5n + 5n = 0 + 5n Combine like terms: -5n + 5n = 0 8m + 0 = 0 + 5n 8m = 0 + 5n Remove the zero: 8m = 5n Divide each side by '8'. m = 0.625n Simplifying m = 0.625n

Solution

m = {0.625n, 0.625n}

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