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

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


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

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

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

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

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

Solving
25m2 + -16n2 = p

Solving for variable 'm'.

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

Add '16n2' to each side of the equation.
25m2 + -16n2 + 16n2 = 16n2 + p

Combine like terms: -16n2 + 16n2 = 0
25m2 + 0 = 16n2 + p
25m2 = 16n2 + p

Divide each side by '25'.
m2 = 0.64n2 + 0.04p

Simplifying
m2 = 0.64n2 + 0.04p

Reorder the terms:
m2 + -0.64n2 + -0.04p = 0.64n2 + -0.64n2 + 0.04p + -0.04p

Combine like terms: 0.64n2 + -0.64n2 = 0.00
m2 + -0.64n2 + -0.04p = 0.00 + 0.04p + -0.04p
m2 + -0.64n2 + -0.04p = 0.04p + -0.04p

Combine like terms: 0.04p + -0.04p = 0.00
m2 + -0.64n2 + -0.04p = 0.00

The solution to this equation could not be determined.

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