x^2+43*x=0

Solution for x^2+43*x=0 equation:

Simplifying
x2 + 43x = 0

Reorder the terms:
43x + x2 = 0

Solving
43x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(43 + x) = 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 '(43 + x)' equal to zero and attempt to solve:

Simplifying
43 + x = 0

Solving
43 + x = 0

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

Add '-43' to each side of the equation.
43 + -43 + x = 0 + -43

Combine like terms: 43 + -43 = 0
0 + x = 0 + -43
x = 0 + -43

Combine like terms: 0 + -43 = -43
x = -43

Simplifying
x = -43
Solution
x = {0, -43}