64X+X^2=0

Solution for 64X+X^2=0 equation:

Simplifying
64X + X2 = 0

Solving
64X + X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(64 + 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 '(64 + X)' equal to zero and attempt to solve:

Simplifying
64 + X = 0

Solving
64 + X = 0

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

Add '-64' to each side of the equation.
64 + -64 + X = 0 + -64

Combine like terms: 64 + -64 = 0
0 + X = 0 + -64
X = 0 + -64

Combine like terms: 0 + -64 = -64
X = -64

Simplifying
X = -64
Solution
X = {0, -64}