sqrt(6x^2-x)=x

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Solution for sqrt(6x^2-x)=x equation:


Simplifying
sqrt(6x2 + -1x) = x

Reorder the terms:
qrst(-1x + 6x2) = x
(-1x * qrst + 6x2 * qrst) = x
(-1qrstx + 6qrstx2) = x

Solving
-1qrstx + 6qrstx2 = x

Solving for variable 'q'.

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

Combine like terms: x + -1x = 0
-1qrstx + 6qrstx2 + -1x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1qrst + 6qrstx + -1) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing q to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1qrst + 6qrstx + -1)' equal to zero and attempt to solve: Simplifying -1qrst + 6qrstx + -1 = 0 Reorder the terms: -1 + -1qrst + 6qrstx = 0 Solving -1 + -1qrst + 6qrstx = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1qrst + 1 + 6qrstx = 0 + 1 Reorder the terms: -1 + 1 + -1qrst + 6qrstx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1qrst + 6qrstx = 0 + 1 -1qrst + 6qrstx = 0 + 1 Combine like terms: 0 + 1 = 1 -1qrst + 6qrstx = 1 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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