=(2x+1)dx

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Solution for =(2x+1)dx equation:


Simplifying
0 = (2x + 1) * dx

Reorder the terms:
0 = (1 + 2x) * dx

Reorder the terms for easier multiplication:
0 = dx(1 + 2x)
0 = (1 * dx + 2x * dx)
0 = (1dx + 2dx2)

Solving
0 = 1dx + 2dx2

Solving for variable 'd'.

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

Add '-1dx' to each side of the equation.
0 + -1dx = 1dx + -1dx + 2dx2
Remove the zero:
-1dx = 1dx + -1dx + 2dx2

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

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

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

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

Ignore the factor -1.

Subproblem 1

Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 0 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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Add '-2x' to each side of the equation. 2x + -2x = -1 + -2x Combine like terms: 2x + -2x = 0 0 = -1 + -2x Simplifying 0 = -1 + -2x 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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