X^2+16X+64X=0

Solution for X^2+16X+64X=0 equation:

Simplifying
X2 + 16X + 64X = 0

Reorder the terms:
16X + 64X + X2 = 0

Combine like terms: 16X + 64X = 80X
80X + X2 = 0

Solving
80X + X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(80 + 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 '(80 + X)' equal to zero and attempt to solve:

Simplifying
80 + X = 0

Solving
80 + X = 0

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

Add '-80' to each side of the equation.
80 + -80 + X = 0 + -80

Combine like terms: 80 + -80 = 0
0 + X = 0 + -80
X = 0 + -80

Combine like terms: 0 + -80 = -80
X = -80

Simplifying
X = -80
Solution
X = {0, -80}