sqrt(8n-5)-1=2

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Solution for sqrt(8n-5)-1=2 equation:


Simplifying
sqrt(8n + -5) + -1 = 2

Reorder the terms:
qrst(-5 + 8n) + -1 = 2
(-5 * qrst + 8n * qrst) + -1 = 2

Reorder the terms:
(8nqrst + -5qrst) + -1 = 2
(8nqrst + -5qrst) + -1 = 2

Reorder the terms:
-1 + 8nqrst + -5qrst = 2

Solving
-1 + 8nqrst + -5qrst = 2

Solving for variable 'n'.

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

Add '1' to each side of the equation.
-1 + 8nqrst + 1 + -5qrst = 2 + 1

Reorder the terms:
-1 + 1 + 8nqrst + -5qrst = 2 + 1

Combine like terms: -1 + 1 = 0
0 + 8nqrst + -5qrst = 2 + 1
8nqrst + -5qrst = 2 + 1

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

Add '5qrst' to each side of the equation.
8nqrst + -5qrst + 5qrst = 3 + 5qrst

Combine like terms: -5qrst + 5qrst = 0
8nqrst + 0 = 3 + 5qrst
8nqrst = 3 + 5qrst

Divide each side by '8qrst'.
n = 0.375q-1r-1s-1t-1 + 0.625

Simplifying
n = 0.375q-1r-1s-1t-1 + 0.625

Reorder the terms:
n = 0.625 + 0.375q-1r-1s-1t-1

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