(5m+6n)(5m-6n)=

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Solution for (5m+6n)(5m-6n)= equation:


Simplifying
(5m + 6n)(5m + -6n) = 0

Multiply (5m + 6n) * (5m + -6n)
(5m * (5m + -6n) + 6n * (5m + -6n)) = 0
((5m * 5m + -6n * 5m) + 6n * (5m + -6n)) = 0

Reorder the terms:
((-30mn + 25m2) + 6n * (5m + -6n)) = 0
((-30mn + 25m2) + 6n * (5m + -6n)) = 0
(-30mn + 25m2 + (5m * 6n + -6n * 6n)) = 0
(-30mn + 25m2 + (30mn + -36n2)) = 0

Reorder the terms:
(-30mn + 30mn + 25m2 + -36n2) = 0

Combine like terms: -30mn + 30mn = 0
(0 + 25m2 + -36n2) = 0
(25m2 + -36n2) = 0

Solving
25m2 + -36n2 = 0

Solving for variable 'm'.

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

Add '36n2' to each side of the equation.
25m2 + -36n2 + 36n2 = 0 + 36n2

Combine like terms: -36n2 + 36n2 = 0
25m2 + 0 = 0 + 36n2
25m2 = 0 + 36n2
Remove the zero:
25m2 = 36n2

Divide each side by '25'.
m2 = 1.44n2

Simplifying
m2 = 1.44n2

Take the square root of each side:
m = {-1.2n, 1.2n}

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