3+sqrt(z-1)=sqrt(z+14)

Solution for 3+sqrt(z-1)=sqrt(z+14) equation:

Simplifying
3 + sqrt(z + -1) = sqrt(z + 14)

Reorder the terms:
3 + qrst(-1 + z) = sqrt(z + 14)
3 + (-1 * qrst + z * qrst) = sqrt(z + 14)
3 + (-1qrst + qrstz) = sqrt(z + 14)

Reorder the terms:
3 + -1qrst + qrstz = qrst(14 + z)
3 + -1qrst + qrstz = (14 * qrst + z * qrst)
3 + -1qrst + qrstz = (14qrst + qrstz)

Add '-1qrstz' to each side of the equation.
3 + -1qrst + qrstz + -1qrstz = 14qrst + qrstz + -1qrstz

Combine like terms: qrstz + -1qrstz = 0
3 + -1qrst + 0 = 14qrst + qrstz + -1qrstz
3 + -1qrst = 14qrst + qrstz + -1qrstz

Combine like terms: qrstz + -1qrstz = 0
3 + -1qrst = 14qrst + 0
3 + -1qrst = 14qrst

Solving
3 + -1qrst = 14qrst

Solving for variable 'q'.

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

Add '-14qrst' to each side of the equation.
3 + -1qrst + -14qrst = 14qrst + -14qrst

Combine like terms: -1qrst + -14qrst = -15qrst
3 + -15qrst = 14qrst + -14qrst

Combine like terms: 14qrst + -14qrst = 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