sqr(28-2m)=sqr(3m-17)

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Solution for sqr(28-2m)=sqr(3m-17) equation:


Simplifying
sqr(28 + -2m) = sqr(3m + -17)
(28 * qrs + -2m * qrs) = sqr(3m + -17)

Reorder the terms:
(-2mqrs + 28qrs) = sqr(3m + -17)
(-2mqrs + 28qrs) = sqr(3m + -17)

Reorder the terms:
-2mqrs + 28qrs = qrs(-17 + 3m)
-2mqrs + 28qrs = (-17 * qrs + 3m * qrs)

Reorder the terms:
-2mqrs + 28qrs = (3mqrs + -17qrs)
-2mqrs + 28qrs = (3mqrs + -17qrs)

Solving
-2mqrs + 28qrs = 3mqrs + -17qrs

Solving for variable 'm'.

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

Add '-3mqrs' to each side of the equation.
-2mqrs + -3mqrs + 28qrs = 3mqrs + -3mqrs + -17qrs

Combine like terms: -2mqrs + -3mqrs = -5mqrs
-5mqrs + 28qrs = 3mqrs + -3mqrs + -17qrs

Combine like terms: 3mqrs + -3mqrs = 0
-5mqrs + 28qrs = 0 + -17qrs
-5mqrs + 28qrs = -17qrs

Add '-28qrs' to each side of the equation.
-5mqrs + 28qrs + -28qrs = -17qrs + -28qrs

Combine like terms: 28qrs + -28qrs = 0
-5mqrs + 0 = -17qrs + -28qrs
-5mqrs = -17qrs + -28qrs

Combine like terms: -17qrs + -28qrs = -45qrs
-5mqrs = -45qrs

Divide each side by '-5qrs'.
m = 9

Simplifying
m = 9

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