3.42X+X^2=0

Solution for 3.42X+X^2=0 equation:

Simplifying
3.42X + X2 = 0

Solving
3.42X + X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(3.42 + 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 '(3.42 + X)' equal to zero and attempt to solve:

Simplifying
3.42 + X = 0

Solving
3.42 + X = 0

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

Add '-3.42' to each side of the equation.
3.42 + -3.42 + X = 0 + -3.42

Combine like terms: 3.42 + -3.42 = 0.00
0.00 + X = 0 + -3.42
X = 0 + -3.42

Combine like terms: 0 + -3.42 = -3.42
X = -3.42

Simplifying
X = -3.42
Solution
X = {0, -3.42}