x(x-sqrt(x))(x+3)=0

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


Simplifying
x(x + -1sqrt(x))(x + 3) = 0

Multiply qrst * x
x(x + -1qrstx)(x + 3) = 0

Reorder the terms:
x(-1qrstx + x)(x + 3) = 0

Reorder the terms:
x(-1qrstx + x)(3 + x) = 0

Multiply (-1qrstx + x) * (3 + x)
x(-1qrstx * (3 + x) + x(3 + x)) = 0
x((3 * -1qrstx + x * -1qrstx) + x(3 + x)) = 0
x((-3qrstx + -1qrstx2) + x(3 + x)) = 0
x(-3qrstx + -1qrstx2 + (3 * x + x * x)) = 0
x(-3qrstx + -1qrstx2 + (3x + x2)) = 0
x(-3qrstx + -1qrstx2 + 3x + x2) = 0
(-3qrstx * x + -1qrstx2 * x + 3x * x + x2 * x) = 0
(-3qrstx2 + -1qrstx3 + 3x2 + x3) = 0

Solving
-3qrstx2 + -1qrstx3 + 3x2 + x3 = 0

Solving for variable 'q'.

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

Add '-3x2' to each side of the equation.
-3qrstx2 + -1qrstx3 + 3x2 + -3x2 + x3 = 0 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-3qrstx2 + -1qrstx3 + 0 + x3 = 0 + -3x2
-3qrstx2 + -1qrstx3 + x3 = 0 + -3x2
Remove the zero:
-3qrstx2 + -1qrstx3 + x3 = -3x2

Add '-1x3' to each side of the equation.
-3qrstx2 + -1qrstx3 + x3 + -1x3 = -3x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-3qrstx2 + -1qrstx3 + 0 = -3x2 + -1x3
-3qrstx2 + -1qrstx3 = -3x2 + -1x3

Reorder the terms:
-3qrstx2 + -1qrstx3 + 3x2 + x3 = -3x2 + 3x2 + -1x3 + x3

Combine like terms: -3x2 + 3x2 = 0
-3qrstx2 + -1qrstx3 + 3x2 + x3 = 0 + -1x3 + x3
-3qrstx2 + -1qrstx3 + 3x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-3qrstx2 + -1qrstx3 + 3x2 + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-3qrst + -1qrstx + 3 + x) = 0

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing q to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + -1x2 = 0 + -1x2 Remove the zero: 0 = -1x2 Simplifying 0 = -1x2 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 '(-3qrst + -1qrstx + 3 + x)' equal to zero and attempt to solve: Simplifying -3qrst + -1qrstx + 3 + x = 0 Reorder the terms: 3 + -3qrst + -1qrstx + x = 0 Solving 3 + -3qrst + -1qrstx + x = 0 Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3qrst + -1qrstx + -3 + x = 0 + -3 Reorder the terms: 3 + -3 + -3qrst + -1qrstx + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3qrst + -1qrstx + x = 0 + -3 -3qrst + -1qrstx + x = 0 + -3 Combine like terms: 0 + -3 = -3 -3qrst + -1qrstx + x = -3 Add '-1x' to each side of the equation. -3qrst + -1qrstx + x + -1x = -3 + -1x Combine like terms: x + -1x = 0 -3qrst + -1qrstx + 0 = -3 + -1x -3qrst + -1qrstx = -3 + -1x 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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