(x^2+2x-8)dx=x^2

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Solution for (x^2+2x-8)dx=x^2 equation: 


Simplifying
(x2 + 2x + -8) * dx = x2

Reorder the terms:
(-8 + 2x + x2) * dx = x2

Reorder the terms for easier multiplication:
dx(-8 + 2x + x2) = x2
(-8 * dx + 2x * dx + x2 * dx) = x2
(-8dx + 2dx2 + dx3) = x2

Solving
-8dx + 2dx2 + dx3 = x2

Solving for variable 'd'.

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

Combine like terms: x2 + -1x2 = 0
-8dx + 2dx2 + dx3 + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8d + 2dx + dx2 + -1x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing d 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 '(-8d + 2dx + dx2 + -1x)' equal to zero and attempt to solve:

Simplifying
-8d + 2dx + dx2 + -1x = 0

Solving
-8d + 2dx + dx2 + -1x = 0

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

Add 'x' to each side of the equation.
-8d + 2dx + dx2 + -1x + x = 0 + x

Combine like terms: -1x + x = 0
-8d + 2dx + dx2 + 0 = 0 + x
-8d + 2dx + dx2 = 0 + x
Remove the zero:
-8d + 2dx + dx2 = x

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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