(4m-5)*(3-m)=(2p+20)*(20)

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Solution for (4m-5)*(3-m)=(2p+20)*(20) equation:


Simplifying
(4m + -5)(3 + -1m) = (2p + 20)(20)

Reorder the terms:
(-5 + 4m)(3 + -1m) = (2p + 20)(20)

Multiply (-5 + 4m) * (3 + -1m)
(-5(3 + -1m) + 4m * (3 + -1m)) = (2p + 20)(20)
((3 * -5 + -1m * -5) + 4m * (3 + -1m)) = (2p + 20)(20)
((-15 + 5m) + 4m * (3 + -1m)) = (2p + 20)(20)
(-15 + 5m + (3 * 4m + -1m * 4m)) = (2p + 20)(20)
(-15 + 5m + (12m + -4m2)) = (2p + 20)(20)

Combine like terms: 5m + 12m = 17m
(-15 + 17m + -4m2) = (2p + 20)(20)

Reorder the terms:
-15 + 17m + -4m2 = (20 + 2p)(20)

Reorder the terms for easier multiplication:
-15 + 17m + -4m2 = 20(20 + 2p)
-15 + 17m + -4m2 = (20 * 20 + 2p * 20)
-15 + 17m + -4m2 = (400 + 40p)

Solving
-15 + 17m + -4m2 = 400 + 40p

Solving for variable 'm'.

Reorder the terms:
-15 + -400 + 17m + -4m2 + -40p = 400 + 40p + -400 + -40p

Combine like terms: -15 + -400 = -415
-415 + 17m + -4m2 + -40p = 400 + 40p + -400 + -40p

Reorder the terms:
-415 + 17m + -4m2 + -40p = 400 + -400 + 40p + -40p

Combine like terms: 400 + -400 = 0
-415 + 17m + -4m2 + -40p = 0 + 40p + -40p
-415 + 17m + -4m2 + -40p = 40p + -40p

Combine like terms: 40p + -40p = 0
-415 + 17m + -4m2 + -40p = 0

The solution to this equation could not be determined.

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