2x^2+41x=0

Solution for 2x^2+41x=0 equation:

Simplifying
2x2 + 41x = 0

Reorder the terms:
41x + 2x2 = 0

Solving
41x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(41 + 2x) = 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 '(41 + 2x)' equal to zero and attempt to solve:

Simplifying
41 + 2x = 0

Solving
41 + 2x = 0

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

Add '-41' to each side of the equation.
41 + -41 + 2x = 0 + -41

Combine like terms: 41 + -41 = 0
0 + 2x = 0 + -41
2x = 0 + -41

Combine like terms: 0 + -41 = -41
2x = -41

Divide each side by '2'.
x = -20.5

Simplifying
x = -20.5
Solution
x = {0, -20.5}