3sqrt(5m+3)=sqrt(2m+72)

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Solution for 3sqrt(5m+3)=sqrt(2m+72) equation:


Simplifying
3sqrt(5m + 3) = sqrt(2m + 72)

Reorder the terms:
3qrst(3 + 5m) = sqrt(2m + 72)
(3 * 3qrst + 5m * 3qrst) = sqrt(2m + 72)

Reorder the terms:
(15mqrst + 9qrst) = sqrt(2m + 72)
(15mqrst + 9qrst) = sqrt(2m + 72)

Reorder the terms:
15mqrst + 9qrst = qrst(72 + 2m)
15mqrst + 9qrst = (72 * qrst + 2m * qrst)

Reorder the terms:
15mqrst + 9qrst = (2mqrst + 72qrst)
15mqrst + 9qrst = (2mqrst + 72qrst)

Solving
15mqrst + 9qrst = 2mqrst + 72qrst

Solving for variable 'm'.

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

Add '-2mqrst' to each side of the equation.
15mqrst + -2mqrst + 9qrst = 2mqrst + -2mqrst + 72qrst

Combine like terms: 15mqrst + -2mqrst = 13mqrst
13mqrst + 9qrst = 2mqrst + -2mqrst + 72qrst

Combine like terms: 2mqrst + -2mqrst = 0
13mqrst + 9qrst = 0 + 72qrst
13mqrst + 9qrst = 72qrst

Add '-9qrst' to each side of the equation.
13mqrst + 9qrst + -9qrst = 72qrst + -9qrst

Combine like terms: 9qrst + -9qrst = 0
13mqrst + 0 = 72qrst + -9qrst
13mqrst = 72qrst + -9qrst

Combine like terms: 72qrst + -9qrst = 63qrst
13mqrst = 63qrst

Divide each side by '13qrst'.
m = 4.846153846

Simplifying
m = 4.846153846

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