3+sqrt(x-2)=sqrt(x+13)

Solution for 3+sqrt(x-2)=sqrt(x+13) equation:

Simplifying
3 + sqrt(x + -2) = sqrt(x + 13)

Reorder the terms:
3 + qrst(-2 + x) = sqrt(x + 13)
3 + (-2 * qrst + x * qrst) = sqrt(x + 13)
3 + (-2qrst + qrstx) = sqrt(x + 13)

Reorder the terms:
3 + -2qrst + qrstx = qrst(13 + x)
3 + -2qrst + qrstx = (13 * qrst + x * qrst)
3 + -2qrst + qrstx = (13qrst + qrstx)

Add '-1qrstx' to each side of the equation.
3 + -2qrst + qrstx + -1qrstx = 13qrst + qrstx + -1qrstx

Combine like terms: qrstx + -1qrstx = 0
3 + -2qrst + 0 = 13qrst + qrstx + -1qrstx
3 + -2qrst = 13qrst + qrstx + -1qrstx

Combine like terms: qrstx + -1qrstx = 0
3 + -2qrst = 13qrst + 0
3 + -2qrst = 13qrst

Solving
3 + -2qrst = 13qrst

Solving for variable 'q'.

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

Add '-13qrst' to each side of the equation.
3 + -2qrst + -13qrst = 13qrst + -13qrst

Combine like terms: -2qrst + -13qrst = -15qrst
3 + -15qrst = 13qrst + -13qrst

Combine like terms: 13qrst + -13qrst = 0
3 + -15qrst = 0

Add '-3' to each side of the equation.
3 + -3 + -15qrst = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -15qrst = 0 + -3
-15qrst = 0 + -3

Combine like terms: 0 + -3 = -3
-15qrst = -3

Divide each side by '-15rst'.
q = 0.2r-1s-1t-1

Simplifying
q = 0.2r-1s-1t-1