sqrt(8-p)-sqrt(p+5)=1

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Solution for sqrt(8-p)-sqrt(p+5)=1 equation: 


Simplifying
sqrt(8 + -1p) + -1sqrt(p + 5) = 1
(8 * qrst + -1p * qrst) + -1sqrt(p + 5) = 1

Reorder the terms:
(-1pqrst + 8qrst) + -1sqrt(p + 5) = 1
(-1pqrst + 8qrst) + -1sqrt(p + 5) = 1

Reorder the terms:
-1pqrst + 8qrst + -1qrst(5 + p) = 1
-1pqrst + 8qrst + (5 * -1qrst + p * -1qrst) = 1

Reorder the terms:
-1pqrst + 8qrst + (-1pqrst + -5qrst) = 1
-1pqrst + 8qrst + (-1pqrst + -5qrst) = 1

Reorder the terms:
-1pqrst + -1pqrst + 8qrst + -5qrst = 1

Combine like terms: -1pqrst + -1pqrst = -2pqrst
-2pqrst + 8qrst + -5qrst = 1

Combine like terms: 8qrst + -5qrst = 3qrst
-2pqrst + 3qrst = 1

Solving
-2pqrst + 3qrst = 1

Solving for variable 'p'.

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

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

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

Divide each side by '-2qrst'.
p = -0.5q-1r-1s-1t-1 + 1.5

Simplifying
p = -0.5q-1r-1s-1t-1 + 1.5

Reorder the terms:
p = 1.5 + -0.5q-1r-1s-1t-1

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