2x^2(x+1)=kx

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Solution for 2x^2(x+1)=kx equation: 


Simplifying
2x2(x + 1) = kx

Reorder the terms:
2x2(1 + x) = kx
(1 * 2x2 + x * 2x2) = kx
(2x2 + 2x3) = kx

Solving
2x2 + 2x3 = kx

Solving for variable 'x'.

Reorder the terms:
-1kx + 2x2 + 2x3 = kx + -1kx

Combine like terms: kx + -1kx = 0
-1kx + 2x2 + 2x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1k + 2x + 2x2) = 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 '(-1k + 2x + 2x2)' equal to zero and attempt to solve:

Simplifying
-1k + 2x + 2x2 = 0

Solving
-1k + 2x + 2x2 = 0

The solution to this equation could not be determined.

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

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