sqrtm+2=sqrt(m+9)

Solution for sqrtm+2=sqrt(m+9) equation:

Simplifying
sqrtm + 2 = sqrt(m + 9)

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

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

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

Add '-1mqrst' to each side of the equation.
2 + mqrst + -1mqrst = mqrst + -1mqrst + 9qrst

Combine like terms: mqrst + -1mqrst = 0
2 + 0 = mqrst + -1mqrst + 9qrst
2 = mqrst + -1mqrst + 9qrst

Combine like terms: mqrst + -1mqrst = 0
2 = 0 + 9qrst
2 = 9qrst

Solving
2 = 9qrst

Solving for variable 'q'.

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

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

Combine like terms: 9qrst + -9qrst = 0
2 + -9qrst = 0

Add '-2' to each side of the equation.
2 + -2 + -9qrst = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9qrst = 0 + -2
-9qrst = 0 + -2

Combine like terms: 0 + -2 = -2
-9qrst = -2

Divide each side by '-9rst'.
q = 0.2222222222r-1s-1t-1

Simplifying
q = 0.2222222222r-1s-1t-1