sqrt(2m-3)+2-sqrt(m+7)=0

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Solution for sqrt(2m-3)+2-sqrt(m+7)=0 equation: 


Simplifying
sqrt(2m + -3) + 2 + -1sqrt(m + 7) = 0

Reorder the terms:
qrst(-3 + 2m) + 2 + -1sqrt(m + 7) = 0
(-3 * qrst + 2m * qrst) + 2 + -1sqrt(m + 7) = 0

Reorder the terms:
(2mqrst + -3qrst) + 2 + -1sqrt(m + 7) = 0
(2mqrst + -3qrst) + 2 + -1sqrt(m + 7) = 0

Reorder the terms:
2mqrst + -3qrst + 2 + -1qrst(7 + m) = 0
2mqrst + -3qrst + 2 + (7 * -1qrst + m * -1qrst) = 0

Reorder the terms:
2mqrst + -3qrst + 2 + (-1mqrst + -7qrst) = 0
2mqrst + -3qrst + 2 + (-1mqrst + -7qrst) = 0

Reorder the terms:
2 + 2mqrst + -1mqrst + -3qrst + -7qrst = 0

Combine like terms: 2mqrst + -1mqrst = 1mqrst
2 + 1mqrst + -3qrst + -7qrst = 0

Combine like terms: -3qrst + -7qrst = -10qrst
2 + 1mqrst + -10qrst = 0

Solving
2 + 1mqrst + -10qrst = 0

Solving for variable 'm'.

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

Add '-2' to each side of the equation.
2 + 1mqrst + -2 + -10qrst = 0 + -2

Reorder the terms:
2 + -2 + 1mqrst + -10qrst = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1mqrst + -10qrst = 0 + -2
1mqrst + -10qrst = 0 + -2

Combine like terms: 0 + -2 = -2
1mqrst + -10qrst = -2

Add '10qrst' to each side of the equation.
1mqrst + -10qrst + 10qrst = -2 + 10qrst

Combine like terms: -10qrst + 10qrst = 0
1mqrst + 0 = -2 + 10qrst
1mqrst = -2 + 10qrst

Divide each side by '1qrst'.
m = -2q-1r-1s-1t-1 + 10

Simplifying
m = -2q-1r-1s-1t-1 + 10

Reorder the terms:
m = 10 + -2q-1r-1s-1t-1

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