x=12x+(6*sqrt(2)x)

Solution for x=12x+(6*sqrt(2)x) equation:

Simplifying
x = 12x + (6sqrt(2) * x)

Reorder the terms for easier multiplication:
x = 12x + (6 * 2qrst * x)

Multiply 6 * 2
x = 12x + (12qrst * x)

Multiply qrst * x
x = 12x + (12qrstx)

Reorder the terms:
x = (12qrstx) + 12x

Solving
x = (12qrstx) + 12x

Solving for variable 'x'.

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

Add '(-12qrstx)' to each side of the equation.
(-12qrstx) + x = (12qrstx) + (-12qrstx) + 12x

Combine like terms: (12qrstx) + (-12qrstx) = 0
(-12qrstx) + x = 0 + 12x
(-12qrstx) + x = 12x

Add '-12x' to each side of the equation.
(-12qrstx) + x + -12x = 12x + -12x

Combine like terms: x + -12x = -11x
(-12qrstx) + -11x = 12x + -12x

Combine like terms: 12x + -12x = 0
(-12qrstx) + -11x = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x((12qrst) + 11) = 0

Ignore the factor -1.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '((12qrst) + 11)' equal to zero and attempt to solve:

Simplifying
(12qrst) + 11 = 0

Reorder the terms:
11 + (12qrst) = 0

Solving
11 + (12qrst) = 0

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

Add '-11' to each side of the equation.
11 + -11 + (12qrst) = 0 + -11

Combine like terms: 11 + -11 = 0
0 + (12qrst) = 0 + -11
(12qrst) = 0 + -11

Combine like terms: 0 + -11 = -11
(12qrst) = -11

Add '(-12qrst)' to each side of the equation.
(12qrst) + (-12qrst) = -11 + (-12qrst)

Combine like terms: (12qrst) + (-12qrst) = 0
0 = -11 + (-12qrst)

Simplifying
0 = -11 + (-12qrst)

The solution to this equation could not be determined.

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