sqrt((x^3)-(2x^2))-x=0

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Solution for sqrt((x^3)-(2x^2))-x=0 equation:


Simplifying
sqrt((x3) + -1(2x2)) + -1x = 0
qrst(x3 + -1(2x2)) + -1x = 0

Remove parenthesis around (2x2)
qrst(x3 + -1 * 2x2) + -1x = 0

Multiply -1 * 2
qrst(x3 + -2x2) + -1x = 0

Reorder the terms:
qrst(-2x2 + x3) + -1x = 0
(-2x2 * qrst + x3 * qrst) + -1x = 0
(-2qrstx2 + qrstx3) + -1x = 0

Solving
-2qrstx2 + qrstx3 + -1x = 0

Solving for variable 'q'.

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

Add 'x' to each side of the equation.
-2qrstx2 + qrstx3 + -1x + x = 0 + x

Combine like terms: -1x + x = 0
-2qrstx2 + qrstx3 + 0 = 0 + x
-2qrstx2 + qrstx3 = 0 + x
Remove the zero:
-2qrstx2 + qrstx3 = x

Combine like terms: x + -1x = 0
-2qrstx2 + qrstx3 + -1x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2qrstx + qrstx2 + -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 '(-2qrstx + qrstx2 + -1)' equal to zero and attempt to solve: Simplifying -2qrstx + qrstx2 + -1 = 0 Reorder the terms: -1 + -2qrstx + qrstx2 = 0 Solving -1 + -2qrstx + qrstx2 = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2qrstx + 1 + qrstx2 = 0 + 1 Reorder the terms: -1 + 1 + -2qrstx + qrstx2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2qrstx + qrstx2 = 0 + 1 -2qrstx + qrstx2 = 0 + 1 Combine like terms: 0 + 1 = 1 -2qrstx + qrstx2 = 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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