4m^2=(n+4)(2-m)

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Solution for 4m^2=(n+4)(2-m) equation:


Simplifying
4m2 = (n + 4)(2 + -1m)

Reorder the terms:
4m2 = (4 + n)(2 + -1m)

Multiply (4 + n) * (2 + -1m)
4m2 = (4(2 + -1m) + n(2 + -1m))
4m2 = ((2 * 4 + -1m * 4) + n(2 + -1m))
4m2 = ((8 + -4m) + n(2 + -1m))
4m2 = (8 + -4m + (2 * n + -1m * n))

Reorder the terms:
4m2 = (8 + -4m + (-1mn + 2n))
4m2 = (8 + -4m + (-1mn + 2n))
4m2 = (8 + -4m + -1mn + 2n)

Solving
4m2 = 8 + -4m + -1mn + 2n

Solving for variable 'm'.

Reorder the terms:
-8 + 4m + mn + 4m2 + -2n = 8 + -4m + -1mn + 2n + -8 + 4m + mn + -2n

Reorder the terms:
-8 + 4m + mn + 4m2 + -2n = 8 + -8 + -4m + 4m + -1mn + mn + 2n + -2n

Combine like terms: 8 + -8 = 0
-8 + 4m + mn + 4m2 + -2n = 0 + -4m + 4m + -1mn + mn + 2n + -2n
-8 + 4m + mn + 4m2 + -2n = -4m + 4m + -1mn + mn + 2n + -2n

Combine like terms: -4m + 4m = 0
-8 + 4m + mn + 4m2 + -2n = 0 + -1mn + mn + 2n + -2n
-8 + 4m + mn + 4m2 + -2n = -1mn + mn + 2n + -2n

Combine like terms: -1mn + mn = 0
-8 + 4m + mn + 4m2 + -2n = 0 + 2n + -2n
-8 + 4m + mn + 4m2 + -2n = 2n + -2n

Combine like terms: 2n + -2n = 0
-8 + 4m + mn + 4m2 + -2n = 0

The solution to this equation could not be determined.

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