SQRT(x^2)=x

Solution for SQRT(x^2)=x equation:

Simplifying
SQRT(x2) = x

Multiply QRST * x2
x2QRST = x

Solving
x2QRST = x

Solving for variable 'x'.

Reorder the terms:
-1x + x2QRST = x + -1x

Combine like terms: x + -1x = 0
-1x + x2QRST = 0

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

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 '(-1 + xQRST)' equal to zero and attempt to solve:

Simplifying
-1 + xQRST = 0

Solving
-1 + xQRST = 0

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

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

Combine like terms: -1 + 1 = 0
0 + xQRST = 0 + 1
xQRST = 0 + 1

Combine like terms: 0 + 1 = 1
xQRST = 1

Divide each side by 'QRST'.
x = Q-1R-1S-1T-1

Simplifying
x = Q-1R-1S-1T-1
Solution
x = {0, Q-1R-1S-1T-1}