7-8sqrt(2x-1)=-17

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Solution for 7-8sqrt(2x-1)=-17 equation: 


Simplifying
7 + -8sqrt(2x + -1) = -17

Reorder the terms:
7 + -8qrst(-1 + 2x) = -17
7 + (-1 * -8qrst + 2x * -8qrst) = -17
7 + (8qrst + -16qrstx) = -17

Solving
7 + 8qrst + -16qrstx = -17

Solving for variable 'q'.

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

Add '-7' to each side of the equation.
7 + 8qrst + -7 + -16qrstx = -17 + -7

Reorder the terms:
7 + -7 + 8qrst + -16qrstx = -17 + -7

Combine like terms: 7 + -7 = 0
0 + 8qrst + -16qrstx = -17 + -7
8qrst + -16qrstx = -17 + -7

Combine like terms: -17 + -7 = -24
8qrst + -16qrstx = -24

Reorder the terms:
24 + 8qrst + -16qrstx = -24 + 24

Combine like terms: -24 + 24 = 0
24 + 8qrst + -16qrstx = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(3 + qrst + -2qrstx) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(3 + qrst + -2qrstx)' equal to zero and attempt to solve:

Simplifying
3 + qrst + -2qrstx = 0

Solving
3 + qrst + -2qrstx = 0

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

Add '-3' to each side of the equation.
3 + qrst + -3 + -2qrstx = 0 + -3

Reorder the terms:
3 + -3 + qrst + -2qrstx = 0 + -3

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

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

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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