w=sqrt(7w)

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Solution for w=sqrt(7w) equation: 


Simplifying
w = sqrt(7w)

Remove parenthesis around (7w)
w = qrst * 7w

Reorder the terms for easier multiplication:
w = 7qrst * w

Multiply qrst * w
w = 7qrstw

Solving
w = 7qrstw

Solving for variable 'w'.

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

Add '-7qrstw' to each side of the equation.
-7qrstw + w = 7qrstw + -7qrstw

Combine like terms: 7qrstw + -7qrstw = 0
-7qrstw + w = 0

Factor out the Greatest Common Factor (GCF), 'w'.
w(-7qrst + 1) = 0


Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0

Subproblem 2
Set the factor '(-7qrst + 1)' equal to zero and attempt to solve:

Simplifying
-7qrst + 1 = 0

Reorder the terms:
1 + -7qrst = 0

Solving
1 + -7qrst = 0

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

Add '-1' to each side of the equation.
1 + -1 + -7qrst = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7qrst = 0 + -1
-7qrst = 0 + -1

Combine like terms: 0 + -1 = -1
-7qrst = -1

Add '7qrst' to each side of the equation.
-7qrst + 7qrst = -1 + 7qrst

Combine like terms: -7qrst + 7qrst = 0
0 = -1 + 7qrst

Simplifying
0 = -1 + 7qrst

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
w = {0}

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